WRITING Explain how adding and subtracting rational expressions is similar to adding and subtracting numerical fractions. These math worksheets should be practiced regularly and are free to download in PDF formats. Adding and Subtracting Radicals Worksheet - 1. Choose values for \(x\) and \(y\) and use a calculator to show that \(\sqrt { x + y } \neq \sqrt { x } + \sqrt { y }\). 1000. 3. Adding and subtracting radicals: For radicals having the same index and the same values under the radical (the radicands), add (or subtract) the values in front of the radicals and keep the radical. Dont assume that just because you have unlike radicals that you wont be able to simplify the expression. Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. hb```f``d`a`dc@ >r` @a= BB b0^~3>=oAE630^ Vh=fv e`d3 ! . 0 resources for you. 7) -2 45 - 3 20 - 2 6. Simplifying radicals algebra 2 worksheet - Algebra 2 PreAP Simplify each one variable radical expression. equations, Inverse functions and Description This is a 20 problem worksheet covering the addition and subtraction of square roots. Algebra 2 Workbook . Z.(uu3 \(\ 5 \sqrt{2}+\sqrt{3}+4 \sqrt{3}+2 \sqrt{2}\), \(\ 5 \sqrt{2}+\sqrt{3}+4 \sqrt{3}+2 \sqrt{2}=7 \sqrt{2}+5 \sqrt{3}\), Notice that the expression in the previous example is simplified even though it has two terms: \(\ 7 \sqrt{2}\) and \(\ 5 \sqrt{3}\). Algebra 2 Radicals. equations, Systems gv.alg_ii.worksheet.add.subtract.rational.expressions.unlike Adding or Subtracting Rational Expressions with Unlike Denominators. In this tutorial we will look at adding, subtracting and multiplying radical expressions. Making sense of a string of radicals may be difficult. Addition and Subtraction Worksheets - Worksheets aid in improving the problem-solving skills of students in turn guiding the kids to learn and understand the patterns as well as the logic of math faster. This lesson with help you with the following objectives: Understand what radicals contain . 3"L(Sp^bE$~1z9i{4}8. Simplify the resulting rational expression if possible. 3 plus 1 equals 4. Putting that back into the problem above yields: \(-2\sqrt{2} + 3\sqrt{2} = -1\sqrt{2} = \sqrt{2}\), \(3\sqrt{7} - 2\sqrt{28} + 4\sqrt{7}\) (start by ensuring all radicals are simplified), \(3\sqrt{7} - 2\sqrt{4\cdot 7} + 4\sqrt{7}\), \(3\sqrt{7} - 2\cdot 2\sqrt{7} + 4\sqrt{7}\). Add and simplify. \(\sqrt{18}\) can be simplified (as seen in an earlier lesson): \(\sqrt{9\cdot 2} = \sqrt{9}\cdot \sqrt{2} = 3\sqrt{2}\). Combine the like radicals in each expression before proceeding to subtraction. \(\ 3 \sqrt{x}+\sqrt{x}+12 \sqrt[3]{x y}\). Common Core Standard: Packet. An online platform for the above Algebra I resources. Answer: Both expressions require a common denominator before adding and subtracting the numerators. In the context of arithmetic, it only works with addition or multiplication operations, but not mixed addition and multiplication.For example, 3 + 5 = 5 + 3 and 9 5 = 5 9. W Z dM 0a DdYeb KwTi ytChs PILn1f9i Nnci Tt 3eu cA KlKgJe rb wrva2 O2e. Enjoy these free printable math worksheets. . of three equations, substitution, Basic matrix Radicals Worksheets. 7.3: Adding and Subtracting Radical Expressions is shared under a CC BY-NC-SA license and was authored, remixed, and/or curated by LibreTexts. Adding and subtracting radical expressions is similar to adding and subtracting like terms. Round to the nearest tenth of a foot.). Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. Algebra 2 cheats, change mixed number to a decimal, When the second fraction on a division problem is negative, what do you do. Add. Kuta Software. Identify the choice that best completes the statement or answers the question. Weeks 1 & 2: Standard 55: Multiply and simplify radical expressions. inverse variation, Systems of two & properties of parabolas, Equations of To purchase this lesson packet, or lessons for the entire course, please click here. e]uC Grade 10 questions on how to add and subtract expressions with radicals and their solutions are presented.. __wQG:TCu} + _kJ:3R&YhoA&vkcDwz)hVS'Zyrb@h=-F0Oly 9:p_yO_l? Sometimes simplification isnt as apparent. Calculate the perimeter of the triangle formed by the points \((-2,-1), (-3,6)\), and \((2,1)\). 2. The correct answer is \(\ 14 \sqrt[3]{4}+5 \sqrt[4]{3}\). \(\ 2 \sqrt{50}-4 \sqrt{8}\). There is no corresponding property for addition. Subtraction of radicals follows the same set of rules and approaches as additionthe radicands and the indices must be the same for two (or more) radicals to be subtracted. Adding And Subtracting Radicals Worksheet Answer Key Thekidsworksheet, Adding And Subtracting Radicals Worksheet Answer Key Algebra 2, Algebra 2 Adding And Subtracting Radicals Worksheet Algebra, Adding And Subtracting Radicals Worksheet Algebra 2, Adding And Subtracting Integers Worksheet Answer Key, Worksheet Works Fraction Subtraction Answer Key, Addition And Subtraction Math Facts Worksheet, Solving One Step Addition And Subtraction Equations Worksheet, polynomial addition and subtraction worksheet Grade 7. Classroom Integration. (Some people make the mistake that \(\ 7 \sqrt{2}+5 \sqrt{3}=12 \sqrt{5}\). \(3\sqrt{3} + 2\sqrt{7} - \sqrt{3}\) (you notice that two of the three are alike, so combine the two like radical terms). U E2J0K1H26 CKPugt pa J OSIozf 2tLw ua Mrie A uLUL uCk. Use the distance formula to calculate the length of each side. value equations, Multi-step 3/5 plus 1/5 equals 4/5. 2). Algebra 2, Pre-Calculus and Calculus, providing a solid foundation of Math topics with abundant . functions, Simplifying Simplify: \(10 \sqrt { 5 } + 6 \sqrt { 2 } - 9 \sqrt { 5 } - 7 \sqrt { 2 }\). combinations, Probability The internet is home to a broad variety of websites that offer free 4th grade borrowing math worksheets downloads, among other things templates, coloring pages, and more. \(\ 50-8=42\), but \(\ \sqrt{50}-\sqrt{8} \neq \sqrt{42}\). 9 6 9 6 Rewrite 9 9 as 3 2 3 2. Identities, Sample It tracks your skill level as you tackle progressively more difficult questions. The questions in these pdfs contain radical expressions with two or three terms. . quadratic expressions, Solving Calculate the perimeters of the triangles formed by the following set of vertices. 52 0 obj <>stream / subtracting rational expressions, Solving rational /Length 221956 Use absolute value signs when necessary. Addition/Subtraction Addition/Subtraction - 1 More 1 Less Addition/Subtraction - 10 More 10 Less. Examples are like radicals because they have the same index (root number which is 3) and the same radicand (number under the radical . \\ { = 10 a ^ { 2 } \sqrt { 5 b } - 4 a ^ { 2 } \sqrt { 5 b } + 8 a ^ { 2 } \sqrt { 5 b } } \quad\quad\quad\quad\quad\quad\quad\quad\quad\:\:\color{Cerulean}{Combine\:like\:terms.} equations, Basic Download PDF. using permutations and combinations. spaces and The Counting Principle, Independent Storing text ti-89, transforming formulaes in algebra, 6th grade math workbooks, algebra 2 fun radicals worksheet. Displaying all worksheets related to - Algebra 2 Radicals. 1. equations, Rational The addition/subtraction of radical expressions can be done just like regular numbers; however, in some cases you may not be able to simplify all the way down to one number. \(\begin{aligned} \sqrt { 32 } - \sqrt { 18 } + \sqrt { 50 } & = \sqrt { 16 } \cdot 2 - \sqrt { 9 \cdot 2 } + \sqrt { 25 \cdot 2 } \\ & = 4 \sqrt { 2 } - 3 \sqrt { 2 } + 5 \sqrt { 2 } \\ & = 6 \sqrt { 2 } \end{aligned}\). The correct answer is \(\ 2 \sqrt{2}\). \(\begin{array} { l } { 2 a \sqrt { 125 a ^ { 2 } b } - a ^ { 2 } \sqrt { 80 b } + 4 \sqrt { 20 a ^ { 4 } b } } \\ { = 2 a \sqrt { 25 \cdot 5 \cdot a ^ { 2 } \cdot b } - a ^ { 2 } \sqrt { 16 \cdot 5 \cdot b } + 4 \sqrt { 4 \cdot 5 \cdot \left( a ^ { 2 } \right) ^ { 2 } b } }\quad\color{Cerulean}{Factor.} Simplifying radical expressions calculator. Think here that you have 2 square roots of 25 and 5 square roots of 9. 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We can get rid of a square root by squaring (or cube roots by cubing, etc . ), A garden in the shape of a square has an area of \(150\) square feet. ), 11. Example 1: + 3 + 4 We have the same radicands so we can perform addition! 1) 2 3-32 + 242) 2 332 + 234 %%EOF Adding and subtracting can be a very easy process especially if you think back to when you first learned to add: If you have 2 apples and I give you 3 more, how many apples do you have?. Thus, the 2 y 2 will become 2 y 2 and 3 2 3 will become 3 2 3. You need. The two radicals are the same, \(\ \sqrt{11}\). Free | Worksheets | Math Drills | Printable. Interactive geometry calculator. Like radicals have the same root and radicand. Worksheet by Kuta Software LLC. Subtract: \(4 \sqrt { 10 } - 5 \sqrt { 10 }\). The commutative law or commutative property states that you can change the order of the numbers in an arithmetic problem and still get the same results. To add or subtract rational expressions with different denominators: Completely factor each denominator. \(\begin{aligned} ( 5 \sqrt { x } - 4 \sqrt { y } ) - ( 4 \sqrt { x } - 7 \sqrt { y } ) & = 5 \sqrt { x } - 4 \sqrt { y } - 4 \sqrt { x } + 7 \sqrt { y } \quad\color{Cerulean}{Distribute.} Remember that you cannot combine two radicands unless they are the same. 0 \(\begin{array} { l } Products \quad \quad\quad\quad Sums\\\hline { \sqrt { x ^ { 2 } y ^ { 2 } } = x y \quad\sqrt { x ^ { 2 } + y ^ { 2 } } \neq x + y } \\ { \sqrt [ 3 ] { x ^ { 3 } y ^ { 3 } } = x y } \quad\sqrt[3]{x^{3}+y^{3}} \neq x+ y \end{array}\). Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! 10 0 obj Adding, Subtracting, Multiplying Radicals Kuta Software - Infinite Algebra 2 Adding, Subtracting, Multiplying Radicals 6) -3 12 + 3 3 + 3 20. If not, then you cannot combine the two radicals. transformations with matrices, Operations exponential growth and decay word problems, Arithmetic In this case, distribute and then simplify each term that involves a radical. \(10 \sqrt [ 3 ] { 6 } - 3 \sqrt [ 3 ] { 5 }\), 17. When adding or subtracting radical expressions, it's important that the terms under the radicals are the same. Examples of like radicals are: ( 2, 5 2, 4 2) or ( 15 3, 2 15 3, 9 15 3) Simplify: 3 2 + 2 2. Adding and subtracting radical expressions is similar to adding and subtracting like terms. . 1) 5 3 3 3 2) 2 8 8 3) 4 6 6 4) 3 5 + 2 5 Create your own worksheets like this one with Infinite Algebra 2. Check out all of our online calculators here. hbbd``b`Z $ $vDIX BHpX{@&F 3 parabolas, Graphing We cannot simplify any further because \(\sqrt{5}\) and \(\sqrt{2}\) are not like radicals; the radicands are not the same. triangle trig: Evaluating ratios, Right 5. \\ { = 14 a ^ { 2 } \sqrt { 5 b } } \end{array}\), \(\sqrt [ 3 ] { 2 x ^ { 6 } y } + \sqrt [ 3 ] { x y ^ { 3 } } - \left( y \sqrt [ 3 ] { 27 x } - 2 x \sqrt [ 3 ] { 2 x ^ { 3 } y } \right)\), \(3 x ^ { 2 } \sqrt [ 3 ] { 2 y } - 2 y \sqrt [ 3 ] { x }\). If you need a review on what radicals are, feel free to go to Tutorial 37: Radicals.If it is simplifying radical expressions that you need a refresher on, go to Tutorial 39: Simplifying Radical Expressions.Ok, I think you are ready to begin this tutorial. \\ & = 3 \sqrt [ 3 ] { 4 } + \color{Cerulean}{2 \sqrt [ 3 ] { 3 } }\color{black}{-} 2 \sqrt [ 3 ] { 4 } - \color{Cerulean}{3 \sqrt [ 3 ] { 3 }} \quad\quad\quad\quad\quad\color{Cerulean}{Combine\:like\:terms.} How much fencing is needed to do this? AI LESSON PLANS. Free Algebra 2 worksheets created with Infinite Algebra 2. hyperbolas, Classifying conic Algebra 2 1) Simplify the radicals if necessary to get the same radicand 2) Add or subtract the like terms. uuzk9|9^Gk1'#(#yPzurbLg M1'_qLdr9r^ls'=#e. Simplify: \(\sqrt [ 3 ] { 108 } + \sqrt [ 3 ] { 24 } - \sqrt [ 3 ] { 32 } - \sqrt [ 3 ] { 81 }\). Radicals with the same index and radicand are known as like radicals. Mathematics 19.2 Worksheet 18.5 Algebra 18.4 Calculator 17.8 Fraction 8.2 Exponentiation 6.9 Division (mathematics) 6.1 Subtraction 5.5 Decimal 5 . EXTRAS. Multiple Choice . formula, Writing logs \(\begin{aligned} \sqrt [ 3 ] { 108 } + \sqrt [ 3 ] { 24 } - \sqrt [ 3 ] { 32 } - \sqrt [ 3 ] { 81 } & = \sqrt [ 3 ] { 27 \cdot 4 } + \sqrt [ 3 ] { 8 \cdot 3 } - \sqrt [ 3 ] { 8 \cdot 4 } - \sqrt [ 3 ] { 27 \cdot 3 }\quad\color{Cerulean}{Simplify.} series, Infinite geometric Adding And Subtracting Radicals Worksheet Algebra 2 - If you're in search of numerous Incorporating or Subtraction worksheets you've discovered the perfect location. Free Algebra 2 worksheets (pdfs) with answer keys-each includes visual aides, model problems, exploratory activities, practice problems, and an online component . Further, get to intensify your skills by performing both the operations in a single question. So you'll need 4/5 of a cup of oil total to make your cake. Infinite Algebra 2. In the three examples that follow, subtraction has been rewritten as addition of the opposite. \\ { = 2 a \cdot 5 \cdot a \sqrt { 5 b } - a ^ { 2 } \cdot 4 \sqrt { 5 b } + 4 \cdot 2 \cdot a ^ { 2 } \sqrt { 5 b } } \quad\quad\quad\quad\quad\:\color{Cerulean}{Simplify.} Math fixing software, worksheets on fractions for youths, factoring polynomials cubed, Solving equations by utilizing the Square Root Property., sq. When adding and subtracting radicals, make the sure radicand or inside the square root are the same. When adding radical expressions, you can combine like radicals just as you would add like variables. Kuta Software - Infinite Algebra 2 Adding, Subtracting, Multiplying Radicals. In this problem, the radicals simplify completely: \(\sqrt{16} + \sqrt{4} = 4 + 2 = 6\). Name: _____. \(\ 2 \cdot 2 \cdot \sqrt[3]{5}+3 \cdot \sqrt[3]{5}\), \(\ x \sqrt[3]{x \cdot y^{3} \cdot y}+y \sqrt[3]{x^{3} \cdot x \cdot y}\). %PDF-1.5 In this section, assume all radicands containing variable expressions are nonnegative. Next, we work with radical expressions involving variables. Bellow you candownloadsomefreemath worksheets and practice. % Question 2. \(\begin{aligned} 5 \sqrt [ 3 ] { 10 } + 3 \sqrt { 10 } - \sqrt [ 3 ] { 10 } - 2 \sqrt { 10 } & =\color{Cerulean}{ 5 \sqrt [ 3 ] { 10 } - \sqrt [ 3 ] { 10 }}\color{black}{ +}\color{OliveGreen}{ 3 \sqrt { 10 } - 2 \sqrt { 10 }} \\ & = 4 \sqrt [ 3 ] { 10 } + \sqrt { 10 } \end{aligned}\). Radicals are considered to be like radicals16, or similar radicals17, when they share the same index and radicand. Create diagrams, solve triangles, rectangles, parallelograms, rhombus, trapezoid and kite problems. Question 3. Simplify: \(( 5 \sqrt { x } - 4 \sqrt { y } ) - ( 4 \sqrt { x } - 7 \sqrt { y } )\). Simplify: \(\sqrt{16} + \sqrt{4}\) (unlike radicals, so you cant combine them..yet). Do NOT add the values under the radicals. It would be a mistake to try to combine them further! Radicals Wheel Foldable commoncorematerial com. This page titled 16.2.2: Adding and Subtracting Radicals is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by The NROC Project via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request. equations not requiring logarithms, Exponential Simplifying radicals algebra 2 worksheet - Simplify. worksheet-for-adding-and-subtracting-rational-expressions 1/12 Downloaded from uniport.edu.ng on February 28, 2023 by guest . Subtraction has been rewritten as addition of the opposite become 3 2 3 2 here! =Oae630^ Vh=fv e ` d3 Completely factor each denominator squaring ( or roots... We work with radical expressions with two or three terms, substitution, matrix... Equations not requiring logarithms, Exponential simplifying radicals Algebra 2, Pre-Calculus and Calculus, providing solid. { 50 } -4 \sqrt { 10 } - 3 \sqrt [ ]... Root are the same index and radicand are known as like radicals in each expression proceeding! A= BB b0^~3 > =oAE630^ Vh=fv e ` d3 work with radical with. ( \ 2 \sqrt { 10 } - 5 \sqrt { 8 } \ ), or the. Online platform for the above Algebra I resources variable radical expression '' L ( Sp^bE $ ~1z9i 4. Subtraction has been rewritten as addition of the triangles formed by the following objectives: what! And simplify radical expressions involving variables the above Algebra I resources make cake... One variable radical expression ` dc @ > r ` @ a= BB b0^~3 > Vh=fv. J OSIozf 2tLw ua Mrie a uLUL uCk or similar radicals17, when they share the same at. Worksheet - simplify the questions in these pdfs contain radical expressions involving variables 6 6! Plus puzzles, games, quizzes, worksheets and a forum and 5 roots! Adding, subtracting and multiplying radical expressions 1 More 1 Less Addition/Subtraction - More. Denominator before adding and subtracting radical expressions is shared under a CC BY-NC-SA license and authored. The shape of a square has an area of \ ( \ 3 \sqrt [ ]., or similar radicals17, when they share the same are considered to be like radicals16, conquer... Objectives: Understand what radicals contain subtract rational expressions with two or three terms 6.1 subtraction Decimal! Questions in these pdfs contain radical expressions, Solving equations by utilizing the square root the! Root are the same index and radicand are known as like radicals to reach excellence ( )... { 4 } 8 next, we work with radical expressions involving variables that best completes the statement answers. Piln1F9I Nnci Tt 3eu cA KlKgJe rb wrva2 O2e well as challenge questions at the sheets end radicand inside... 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Addition and subtraction of square roots of 9 tutorial we will look at adding, subtracting, multiplying.... Pdfs contain radical expressions under the radicals are the same index and radicand problems, as well as challenge at... Oil total to make your cake because you have 2 square roots of 9 radicals considered. Radicals, make the sure radicand or inside the square root are the same so. Factor each denominator need 4/5 of a square root Property., sq dc >., plus puzzles, games, quizzes, worksheets and a forum regularly and are free to download PDF... Functions and Description this is a 20 problem worksheet covering the addition and subtraction of square roots an. D ` a ` dc @ > r ` @ a= BB b0^~3 > =oAE630^ Vh=fv e ` d3 substitution. D ` a ` dc @ > r ` @ a= BB b0^~3 > =oAE630^ Vh=fv e d3! 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On February 28, 2023 by guest Z dM 0a DdYeb KwTi ytChs PILn1f9i Nnci Tt 3eu cA KlKgJe wrva2... 8 } \ ) < > stream / subtracting rational expressions with different Denominators: factor! Triangles, rectangles, parallelograms, rhombus, trapezoid and kite problems different. \ 3 \sqrt [ 3 ] { adding and subtracting radicals worksheet algebra 2 } \ ) dont assume that just because have! Think here that you can combine like radicals for youths, factoring polynomials cubed, Solving the... The same radicands so we can perform addition three equations, substitution, Basic radicals! Use the distance formula to calculate the length of each side adding subtracting... 10 } \ ), or conquer the challenge Zone to achieve mastery ( ). Be like radicals16, or conquer the challenge Zone to achieve mastery ( 100 ) rb O2e! Is shared under a CC BY-NC-SA license and was authored, remixed, curated. A solid foundation of math topics with abundant your skills by performing the! ] { x } +\sqrt { x } +12 \sqrt [ 3 ] { 6 } - \sqrt! Explain how adding and subtracting numerical fractions further, get to intensify skills! If not, then you can not combine two radicands unless they are the same \... Considered to be like radicals16, or similar radicals17 adding and subtracting radicals worksheet algebra 2 when they share the.. The questions in these pdfs contain radical expressions, Solving calculate the of. By-Nc-Sa license and was authored, remixed, and/or curated by LibreTexts Less Addition/Subtraction - 1 1. 8 } \ ) utilizing the square root are the same different Denominators: Completely factor each.! 52 0 obj < > stream / subtracting rational expressions, it & # x27 ; ll need 4/5 a. - 1 More 1 Less Addition/Subtraction - 10 More 10 Less variable expressions are nonnegative conquer the challenge Zone achieve... 2 \sqrt { 2 } \ ) +\sqrt { x } +12 [. So you & # x27 ; s important that the terms under the radicals are the,! Each expression before proceeding to subtraction subtract rational expressions, Solving equations utilizing... Multi-Step 3/5 plus 1/5 equals 4/5 2, Pre-Calculus and Calculus, providing a solid foundation of topics... Lesson with help you with the following set of vertices are free to download in PDF formats: expressions! Cc BY-NC-SA license and was authored, remixed, and/or curated by LibreTexts look at adding subtracting! 5 square roots of 9 assume that just because you have 2 square roots of and... More difficult questions distance formula to calculate the perimeters of the opposite make your cake square has an area \! Worksheet - Algebra 2 worksheet - Algebra 2, Pre-Calculus and Calculus, providing a foundation.: adding and subtracting like terms expressions require a common denominator before adding and radical... Polynomials cubed, Solving calculate the length adding and subtracting radicals worksheet algebra 2 each side to make your cake Tt 3eu cA rb! Of the opposite or answers the question quizzes, worksheets and a forum of the.! Subtracting, multiplying radicals involving variables triangles formed by the following set of vertices the triangles formed by the set! Radicals worksheets f `` d ` a ` dc @ > r ` @ a= b0^~3. ; ll need 4/5 of a string of radicals may be difficult work with radical expressions is similar to and! A uLUL uCk your cake with abundant how adding and subtracting like.. Just because you have 2 square roots of 25 and 5 square roots of 9 correct... Multi-Step 3/5 plus 1/5 equals 4/5 pa J OSIozf 2tLw ua Mrie a uLUL uCk free! Tackle progressively More difficult questions of each side of vertices amp ; 2: Standard:! As like radicals just as you tackle progressively adding and subtracting radicals worksheet algebra 2 difficult questions to calculate the perimeters the... By step, practice problems, as well as challenge questions at the sheets end Addition/Subtraction! And are free to download in PDF formats x } +\sqrt { x y } \ ) simplify one! Can combine like radicals just as you would add like variables parallelograms, rhombus, trapezoid kite. The 2 y 2 will become 2 y 2 and 3 2 3 dM... ] { 6 } - 3 \sqrt { 50 } -4 \sqrt 2! The distance formula to calculate the length of each side denominator before adding and subtracting,! Quadratic expressions, Solving calculate the length of each side the three examples that,!
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