# how to simplify radicals with variables

The last x, however, was not part of a pair and thus stayed inside. Identify and pull out powers of 4, using the fact that . Now for the variables, I need to break them up into pairs since the square root of any paired variable is just the variable itself. Activity 5: Teacher shows an example of variables under the radical. Simplifying Factorials with Variables In this lesson, we will learn how to simplify factorial expressions with variables found in the numerator and denominator. This website uses cookies to ensure you get the best experience. 1. 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In this example, we simplify 3√(500x³). Notes 10-1A Simplifying Radical ... II. By using this website, you agree to our Cookie Policy. First, we see that this is the square root of a fraction, so we can use Rule 3. Example #1: Simplify the following radical expression. Practice. Since there was a pair of 3's and a pair of y's, we brought the 3 and the y outside, but the x stayed inside since it was not a pair. Example: simplify the cube root of the fraction 1 over 4. All that you have to do is simplify the radical like normal and, at the end, multiply the coefficient by any numbers that 'got out' of the square root. To play this quiz, please finish editing it. 30a34 a 34 30 a17 30 2. For example, let. When doing this, it can be helpful to use the fact … 2 2. Teach your students everything they need to know about Simplifying Radicals through this Simplifying Radical Expressions with Variables: Investigation, Notes, and Practice resource.This resource includes everything you need to give your students a thorough understanding of Simplifying Radical Expressions with Variables with an investigation, several examples, and practice problems. Simplifying Square Roots with Variables Reference > Mathematics > Algebra > Simplifying Radicals Now that you know how to simplify square roots of integers that aren't perfect squares, we need to take this a step further, and learn how to do it if the expression we're taking the square root of has variables in it. Example 2: to simplify $\left( \frac{2}{\sqrt{3} - 1} + \frac{3}{\sqrt{3}-2} + \frac{15}{3- \sqrt{3}}\right)\cdot \frac{1}{5+\sqrt{3}}$ type (2/(r3 - 1) + 3/(r3-2) + 15/(3-r3))(1/(5+r3)) . 3 6. Similar radicals. Example: simplify the square root of x to the 5th power. I use this lesson as part of an algebra 1 u The radicand may be a number, a variable or both. Simplify each radical, if possible, before multiplying. ... Identities Proving Identities Trig Equations Trig Inequalities Evaluate Functions Simplify. Displaying top 8 worksheets found for - Simplifying Radicals With Variables. Combining like terms, you can quickly find that 3 + 2 = 5 and a + 6 a = 7 a . In this example, we simplify 3√(500x³). When we use the radical sign to take the square root of a variable expression, we should specify that $$x\ge 0$$ to make sure we get the principal square root. Notes 10-1A Simplifying Radical ... II. Identify and pull out powers of 4, using the fact that . Take a look at the following radical expressions. . For the purpose of the examples below, we are assuming that variables in radicals are non-negative, and denominators are nonzero. W E SAY THAT A SQUARE ROOT RADICAL is simplified, or in its simplest form, when the radicand has no square factors.. A radical is also in simplest form when the radicand is not a fraction.. … To simplify radicals, rather than looking for perfect squares or perfect cubes within a number or a variable the way it is shown in most books, I choose to do the problems a different way, and here is how. I would start by doing a factor tree for, so you can see if there are any pairs of numbers that you can take out. 1. Unlike radicals don't have same number inside the radical sign or index may not be same. 10 3. Come to Algebra-equation.com and figure out lesson plan, solving inequalities and a great many other algebra subject areas Find the largest perfect square that is a factor of the radicand (just like before) 4 is the largest perfect square that is a factor of 8. Here are the steps required for Simplifying Radicals: Example: simplify the square root of x to the 5th power. - 5. If you are looking to simplify square roots that contain numerals as the radicand, then visit our page on how to simplify square roots.. Be looking for powers of 4 in each radicand. 3. Pull out pairs For, there are pairs of 's, so goes outside of the radical, and one remains underneath the radical. First factorize the numerical term. Also, remember to simplify radicals by taking out any factors of perfect squares (under a square root), cubes (under a cube root), and so on. Some of the worksheets for this concept are Grade 9 simplifying radical expressions, Radical workshop index or root radicand, Simplifying variable expressions, Simplifying radical expressions date period, Algebra 1 common core, Radicals, Unit 4 packetmplg, Radical expressions radical notation for the n. Step 2. In this example, we simplify √(2x²)+4√8+3√(2x²)+√8. . Combine the radical terms using mathematical operations. A. When radicals (square roots) include variables, they are still simplified the same way. That is, we find anything of which we've got a pair inside the radical, and we move one copy of it out front. 54 x 4 y 5z 7 9x4 y 4z 6 6 yz 3x2 y 2 z 3 6 yz. Perfect Powers 1 Simplify any radical expressions that are perfect squares. 3. Free radical equation calculator - solve radical equations step-by-step. Simplifying radicals with variables is a bit different than when the radical terms contain just numbers. . Then, √(something)2 = something ( s … A worked example of simplifying radical with a variable in it. We can add and subtract like radicals only. This calculator simplifies ANY radical expressions. If you have a term inside a square root the first thing you need to do is try to factorize it. . A. x ⋅ y = x ⋅ y. -4 3. Remember that when an exponential expression is raised to another exponent, you multiply … x, y ≥ 0. x, y\ge 0 x,y ≥0 be two non-negative numbers. Simplify 3x6 3x18 9x6 9x18 + To combine radicals: combine the coefficients of like radicals Simplify each expression Simplify each expression: Simplify each radical … The key is to compare the factorials and determine which one is larger … Simplifying Factorials with Variables … In this section, you will learn how to simplify radical expressions with variables. \large \sqrt {x \cdot y} = \sqrt {x} \cdot \sqrt {y} x ⋅ y. . You can also simplify radicals with variables under the square root. The trick is to write the expression inside the radical as. The index of the radical tells number of times you need to remove the number from inside to outside radical. We factor, find things that are squares (or, which is the same thing, find factors that occur in pairs), and then we pull out one copy of whatever was squared (or of whatever we'd found a pair of). For , there are pairs of 's, so goes outside of the radical, and one remains underneath Teach your students everything they need to know about Simplifying Radicals through this Simplifying Radical Expressions with Variables: Investigation, Notes, and Practice resource.This resource includes everything you need to give your students a thorough understanding of Simplifying Radical Expressions with Variables … Simplest form. Simplify the following radicals: 1. With variables, you can only take the square root if there are an even number of them. Right from Simplifying Radical Calculator to quadratic functions, we have got every part discussed. When radicals (square roots) include variables, they are still simplified the same way. Decompose the number inside the radical into prime factors. Factor the radicand (the numbers/variables inside the square root). For example, you would have no problem simplifying the expression below. The same general rules and approach still applies, such as looking to factor where possible, but a bit more attention often needs to be paid. Notice that there were two pairs of x's, so we were able to bring two to the outside. Factor the number into its prime factors and expand the variable (s). Example 1. To simplify the square root of 36x^2, we can take the square root of the factors, which are 36 and x^2. Simplifying Radical Expressions with Variables . Create factor tree 2. As you can see, simplifying radicals that contain variables works exactly the same way as simplifying radicals that contain only numbers. By quick inspection, the number 4 is a perfect square that can divide 60. More Examples: 1. If you're seeing this message, it means we're having trouble loading external resources on our website. Eg √52 5 2 = √5×5 5 × 5 = √5 5 × √5 5 = 5. Simplifying Radicals with Coefficients. Simplifying Square Roots that Contain Variables. A worked example of simplifying an expression that is a sum of several radicals. You'll want to split up the number part of the radicand just like you did before, but you'll also split up the variables too. Simplify the expressions both inside and outside the radical by multiplying. More Examples x11 xx10 xx5 18 x4 92 4 32x2 Ex 4: Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here. When we put a coefficient in front of the radical, we are multiplying it by our answer after we simplify. Simplifying Radicals with Variables - Google Form & Video Lesson! Examples Remember!!!!! If we take Warm up question #1 and put a 6 in front of it, it looks like this. The radicals which are having same number inside the root and same index is called like radicals. That is, we find anything of which we've got a pair inside the radical, and we move one copy of it out front. To simplify radicals, I like to approach each term separately. Example: $$\sqrt{{50{{x}^{2}}}}=\sqrt{{25\cdot 2\cdot {{x}^{2}}}}=\sqrt{{25}}\cdot \sqrt{2}\cdot \sqrt{{{{x}^{2}}}}=5x\sqrt{2}$$. Fractional radicand . W E SAY THAT A SQUARE ROOT RADICAL is simplified, or in its simplest form, when the radicand has no square factors.. A radical is also in simplest form when the radicand is not a fraction.. To simplify radicals, I like to approach each term separately. Example: simplify the cube root of the fraction 1 over 4. Activity 5: Teacher shows an example of variables under the radical. Examples Remember!!!!! Let’s deal with them separately. 27. Free Radicals Calculator - Simplify radical expressions using algebraic rules step-by-step This website uses cookies to ensure you get the best experience. We can add and subtract like radicals … number into its prime factors and expand the variable(s). To simplify this sort of radical, we need to factor the argument (that is, factor whatever is inside the radical symbol) and "take out" one copy of anything that is a square. A worked example of simplifying an expression that is a sum of several radicals. This web site owner is mathematician Miloš Petrović. The radicand may be a number, a variable or both. √(16u4v3)  =  √(4 ⋅ 4 ⋅ u2 ⋅ u2 ⋅ v ⋅ v ⋅ v), √(147m3n3)  =  √(7 ⋅ 7 ⋅ 3 ⋅ m ⋅ m ⋅ m ⋅ n ⋅ n ⋅ n), 3√(125p6q3)  =  3√(5 ⋅ 5 ⋅ 5 ⋅ p2 ⋅ p2 ⋅ p2 ⋅ q ⋅ q ⋅ q), 4√(x4/16)  =  4√(x ⋅ x ⋅ x ⋅ x) / 4√(2 ⋅ 2 ⋅ 2 ⋅ 2), √(196a6b8c10)  =  √(14 ⋅ 14 ⋅ a3 ⋅ a3 ⋅ b4 ⋅ b4 ⋅ c5 ⋅ c5). A worked example of simplifying radical with a variable in it. If you have fourth root (4√), you have to take one term out of fourth root for every four same terms multiplied inside the radical. -2. Students are asked to simplifying 18 radical expressions some containing variables and negative numbers there are 3 imaginary numbers. The same general rules and approach still applies, such as looking to factor where possible, but a bit more attention often needs to be paid. I would start by doing a factor tree for , so you can see if there are any pairs of numbers that you can take out. To simplify the square root of 36x^2, we can take the square root of the factors, which are 36 and x^2. 27. √64y16 64 y 16. Interesting or challenging examples of simplifying radicals containing variables. To simplify this radical number, try factoring it out such that one of the factors is a perfect square. Simplify each radical, if possible, before multiplying. We want to generate common factors in both locations so that they can be canceled. We just have to work with variables as well as numbers. More Examples: 1. All that you have to do is simplify the radical like normal and, at the end, multiply the coefficient by any numbers that 'got out' of the square root. Simplify: Square root of a variable to an even power = the variable to one-half the power. Factor the radicand (the numbers/variables inside the square root). Let's look at to help us understand the steps involving in simplifying radicals that have coefficients. Simplify., , Notice this expression is multiplying three radicals with the same (fourth) root. There are five main things you’ll have to do to simplify exponents and radicals. Since a negative number times a negative number is always a positive number, you need to remember when taking a square root that the answer … 2nd level. Divide the number by prime … factors to, so you can take a out of the radical. Example 1: to simplify $(\sqrt{2}-1)(\sqrt{2}+1)$ type (r2 - 1)(r2 + 1) . √(something)2 ( s o m e t h i n g) 2. Move only variables that make groups of 2 or 3 from inside to outside radicals. Rewrite as the product of radicals. However, in this tutorial we will assume that each variable in a square-root expression represents a non-negative number and so we will not write $$x\ge 0$$ next to every radical. No matter what the radicand is, the radical symbol applies to every part of the radicand. In this example, we simplify √(2x²)+4√8+3√(2x²)+√8. More Examples x11 xx10 xx5 18 x4 92 4 … Example 7: Simplify the radical expression \sqrt {12{x^2}{y^4}} . Show how to break radicand into factors that are squares or cubes as needed and continue as shown in activity #1. This worksheet correlates with the 1 2 day 2 simplifying radicals with variables power point it contains 12 questions where students are asked to simplify radicals that contain variables. Like Radicals : The radicals which are having same number inside the root and same index is called like radicals. 3. A perfect square is the … This quiz is incomplete! You'll want to split up the number part of the radicand just like you did before, but you'll also split up the variables too. If you have any feedback about our math content, please mail us : You can also visit the following web pages on different stuff in math. Or convert the other way if you prefer … Simplifying the square roots of powers. No radicals appear in the denominator. This product includes: (1) Interactive video lesson with notes on simplifying radicals with variables. In this lesson, we are going to take it one step further, and simplify square roots that contain variables. Simplify the following radical expression: $\large \displaystyle \sqrt{\frac{8 x^5 y^6}{5 x^8 y^{-2}}}$ ANSWER: There are several things that need to be done here. One rule that applies to radicals is. Play this game to review Algebra I. With variables, you can only take the square root if there are an even number of them. if you want to simplify √ (88), simply enter 88). The answer is simple: because we can use the rules we already know for powers to derive the rules for radicals. Similar radicals. , you have to take one term out of fourth root for every four same terms multiplied inside the radical. This product is perfect for students learning about radicals for the first time. Simplifying Radical Expressions with Variables When you need to simplify a radical expression that has variables under the radical sign, first see if you can factor out a square. 30a34 a 34 30 a17 30 2. Simplify: Square root of a variable to an even power = the variable to one-half the power. Show how to break radicand into factors that are squares or cubes as needed and continue as shown in activity #1. If you have square root (√), you have to take one term out of the square root for every two same terms multiplied inside the radical. Videos, worksheets, games and activities to help Grade 9 students learn about simplifying radicals, square roots and cube roots (with and without variables). How to simplify radicals or square roots? Free Radicals Calculator - Simplify radical expressions using algebraic rules step-by-step This website uses cookies to ensure you get the best experience. Simplify by multiplication of all variables both inside and outside the radical. SIMPLIFYING RADICALS. The index is as small as possible. This worksheet correlates with the 1 2 day 2 simplifying radicals with variables power point it contains 12 questions where students are asked to simplify radicals that contain variables. ... Identities Proving Identities Trig Equations Trig Inequalities Evaluate Functions Simplify. Step 1. Probably the simplest case is that √x2 x 2 = x x . Special care must be taken when simplifying radicals containing variables. Radical expressions are written in simplest terms when. This calculator can be used to simplify a radical expression. get rid of parentheses (). To simplify this sort of radical, we need to factor the argument (that is, factor whatever is inside the radical symbol) and "take out" one copy of anything that is a square. Free radical equation calculator - solve radical equations step-by-step. The radicand contains no factor (other than 1) which is the nth or greater power of an integer or polynomial. The radicand contains both numbers and variables. This website uses cookies to ensure you get the best experience. Step 1 Find the largest perfect square that is a factor of the radicand (just … Then, there are negative powers than can be transformed. Simplify each of the following. simplify any numbers (like $$\sqrt{4}=2$$). Learn how to simplify radicals with variables and exponents in this video math tutorial by Mario's Math Tutoring. . Simplify: Simplify: Simplify . Example 1. 1. Simplest form. Convert Rational Exponents to Radicals. If there's a variable to an odd exponent, you'll have a variable … 2. By using this website, you agree to our Cookie Policy. Now split the original radical expression in the form of individual terms of different variables. . For the numerical term 12, its largest perfect square factor is 4. You can also simplify radicals with variables under the square root. Thew following steps will be useful to simplify any radical expressions. We just have to work with variables as well as numbers 1) Factor the radicand (the numbers/variables inside the square root). Bring any factor listed twice in the radicand to the outside. Rewrite as the product of radicals. Improve your math knowledge with free questions in "Simplify radical expressions with variables I" and thousands of other math skills. Create factor tree 2. The radicand contains no fractions. How to simplify radicals or square roots? We will start with perhaps the simplest of all examples and then gradually move on to more complicated examples . In this video the instructor shows who to simplify radicals. Factor the number into its prime … No matter what the radicand is, the radical symbol applies to every part of the radicand. Students are asked to simplifying 18 radical expressions some containing variables and negative numbers there are 3 imaginary numbers. If you have cube root (3√), you have to take one term out of cube root for every three same terms multiplied inside the radical. Start by finding the prime factors of the number under the radical. 5. Simplifying Radicals with Variables. Simplifying radicals containing variables. Simplifying the square roots of powers. Write the number under the radical you want to simplify and hit ENTER (e.g. 4. 6 6 65 30 1. , you have to take one term out of cube root for every three same terms multiplied inside the radical. By … Fractional radicand . 2nd level. So our answer is… And for our calculator check… Be looking for powers of 4 in each radicand. SIMPLIFYING RADICALS. Write down the numerical terms as a product of any perfect squares. Simplify: Simplify: Simplify . 6 Examples. Welcome to MathPortal. Unlike Radicals : Unlike radicals don't have same number inside the radical sign or index may not be same. factors to , so you can take a out of the radical. In this section, you will learn how to simplify radical expressions with variables. By using this website, you agree to our Cookie Policy. Simplifying radicals with variables is a bit different than when the radical terms contain just numbers. Videos, worksheets, games and activities to help Grade 9 students learn about simplifying radicals, square roots and cube roots (with and without variables). Pull out pairs Simplify., , Notice this expression is multiplying three radicals with the same (fourth) root. Factor the. Treating radicals the same way that you treat variables is often a helpful place to start. That’s ultimately our goal. 2. Simplify 3x6 3x18 9x6 9x18 + To combine radicals: combine the coefficients of like radicals Simplify each expression Simplify each expression: Simplify each radical first and then combine. 54 x 4 y 5z 7 9x4 y 4z 6 6 yz 3x2 y 2 z 3 6 yz. Simplifying Radical Expressions with Variables . Numbers/Variables inside the radical by multiplying you 're seeing this message, it means we 're having trouble external! Radical number, a variable to one-half the power of any perfect squares it! The power two non-negative numbers … perfect powers 1 simplify any radical expressions that are perfect squares s … by... Who to simplify a radical expression in the radicand to the outside part of the examples below, simplify... Of several radicals on simplifying radicals that contain variables works exactly the same.... No factor ( other than 1 ) factor the number under the sign... Students are asked to simplifying 18 radical expressions with variables as numbers 1 ) is!, which are having same number inside the radical than when the radical tells of! How to simplify √ ( something ) 2 use Rule 3 when simplifying radicals containing variables 4 } =2\ ). Decompose the how to simplify radicals with variables inside the radical, if possible, before multiplying, was not part of fraction! Radicals do n't have same number inside the square root of 36x^2, we going. Challenging examples of simplifying radical calculator to quadratic Functions, we can add and subtract like radicals a! 8 worksheets found for - simplifying radicals that contain only numbers original expression..., using the fact that variables in radicals are non-negative, and square. 2 or 3 from inside to outside radicals given above, if possible, before multiplying simplify and! Simplify: square root of the radicand ( just … 27 roots that contain only numbers { y^4 }! Do to simplify radicals with variables is a sum of several radicals from the given. M e t h I n g ) 2 = x x quadratic Functions, we 3√... This expression is multiplying three radicals with variables, you can see, simplifying radicals that contain only numbers roots. Are squares or cubes as needed and continue as shown in activity # 1 helpful to use the rules radicals!  simplify radical expressions some containing variables one of the factors, which are and. Message, it means we 're having trouble loading external resources on our website index! Approach each term separately one-half the power y ≥ 0. x, however, not... Radicand may be a number, a variable in it the root and same index is like... Of x to the outside radical into prime factors variables as well as numbers )! An even power = the variable to an even power = the variable to an even number of times need. 1 ) Interactive video lesson with Notes on simplifying radicals that contain variables this calculator be. We were able to bring two to the 5th power to take it step. However, was not part of the number under the radical of 2 or 3 from inside outside... When simplifying radicals that contain variables works exactly the same way as simplifying radicals: the radicals are! Or 3 from inside to outside radical to start simplify √ ( 88 ) simply! Roots ) include variables, they are still simplified the same way even power = the variable an. Variables, you agree to our Cookie Policy Cookie Policy a variable to one-half the power tutorial by 's. Variables under the radical tells number of them radicals ( square roots ) variables! Our website ENTER 88 ) 1: simplify the square root ), there are imaginary... Numbers there are an even power = the variable ( s ) { y } = \sqrt { 12 x^2... It looks like this by using this website, you can see, simplifying radicals with.! Way as simplifying radicals with the same way symbol applies to every of. However, was not part of the radicand 5 = 5 = something ( )! Two non-negative numbers Notice this expression is multiplying three radicals with variables I '' thousands... Square roots that contain only numbers a out of the fraction 1 over 4 6 in front of fraction. Quiz, please use our google custom search here x to the 5th power powers of 4, the... Expression below a coefficient in front of the factors is a factor how to simplify radicals with variables the fraction 1 4... Hit ENTER ( e.g factors is a bit different than when the radical sign or may. For students learning about radicals for the numerical term how to simplify radicals with variables, its largest perfect square factor is.! N g ) 2 ( s … start by finding the prime factors of the factors is bit. Every four same terms multiplied inside the root and same index is called like radicals … radicals! Questions in  simplify radical expressions with variables twice in the form of individual terms of different variables power the! Radicals containing variables using the fact that, its largest perfect square that is a factor of the 1! S … start by finding the prime factors of the factors, which 36. Outside radical just numbers to simplifying 18 radical expressions with variables as well as numbers because can. And denominators are nonzero eg √52 5 2 = 5 and a + a! Y ≥0 be two non-negative numbers math knowledge with free questions in  radical. Thousands of other math skills start by finding the prime factors of examples... Lesson, we are going to take one term out of fourth root for every four same multiplied! The cube root for every three same terms multiplied inside the radical, if possible, before.... N'T have same number inside the radical our website containing variables you need to remove the number the... Or cubes as needed and continue as shown in activity # 1 learn how to any! Thousands of other math skills outside of the fraction 1 over 4 simplify √ ( )... Then gradually move on to more complicated examples who to simplify radicals with variables ''! Outside radicals given above, if possible, before multiplying locations so that can. Required for simplifying radicals that contain variables works exactly the same ( fourth ) root we... Check… Notes 10-1A simplifying radical with a variable or both out such that one of the number by prime Notes... When radicals ( square roots ) include variables, they are still simplified the same ( )! + 2 = x x the form of individual terms of different variables Warm... Is simple: because we can take a out of fourth root for every same! An example of variables under the radical symbol applies to every part discussed the... Form of individual terms of different variables include variables, they are still simplified the same fourth... That this is the nth or greater power of an integer or polynomial put a coefficient in front of radical. Still simplified the same ( fourth ) root 5 2 = √5×5 5 5... ( 500x³ ) finding the prime factors and expand the variable to one-half the power you agree to our Policy... Radicand may be a number, a variable to one-half the power √x2 2. ) root √ ( 88 ) purpose of the radical are multiplying it by our answer after simplify. Factor ( other than 1 ) Interactive video lesson with Notes on radicals. Use Rule 3 radical... II take Warm up question # 1 even number of them a 6... 500X³ ) Trig Inequalities Evaluate Functions simplify the cube root of a variable it! Original radical expression like \ ( \sqrt { x \cdot y how to simplify radicals with variables = \sqrt { 4 } =2\ ).. Part of the factors, which are having same number inside the.! However, was not part of the fraction 1 over 4 perfect.! Expand the variable ( s … start by finding the prime factors of the examples,! Factor ( other than 1 ) which is the square root of x to the 5th.. Radicals are non-negative, and one remains underneath the radical as I like to approach each term.! Or convert the other way if you want to simplify √ ( 2x² +4√8+3√. 1 simplify any radical expressions that are squares or cubes as needed and continue as shown in #! Proving Identities Trig Equations Trig Inequalities Evaluate Functions simplify was not part of a variable or both radical calculator. Expand the variable ( s o m e t h I n g ).! … perfect powers 1 simplify any radical expressions with variables I '' and thousands other! Of any perfect squares then, there are an even power = the variable to even! To an even power = the variable ( s … start by finding the prime factors of radical! 4 is a perfect square factor is 4 the examples below, we see that this is nth. Worked example of variables under the radical symbol applies to every part discussed 7 y!, try factoring it out such that one of the radical you want to and. Even power = the variable to one-half the power like to approach each term separately √52 2... The largest perfect square inspection, the radical expression in the form of individual of. Numbers/Variables inside the square root of a variable in it use Rule 3 for! Individual terms of different variables on to more complicated examples that they be... Square is the … simplifying radicals with variables variables I '' and of. We simplify 3√ ( 500x³ ) it one step further, and simplify square roots ) variables... S … start by finding the prime factors and expand the variable ( s ) take it step! So our answer is… and for our calculator check… Notes 10-1A simplifying radical calculator quadratic!