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Radical Operations Worksheet

Grade 10 Math worksheet covering operations with radical expressions including simplification, addition, subtraction, multiplication, and division.

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Grade 10 Math AlgebraRadical Operations
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Includes

Fill in the Blanks2 Short AnswerMultiple Choice

Standards

CCSS.MATH.CONTENT.HSA.APR.D.6CCSS.MATH.CONTENT.HSA.APR.D.7

Topics

MathAlgebraRadicalsGrade 10
6 sections · Free to use · Printable
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Radical Operations

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Read each question carefully and perform the indicated operations with radical expressions. Simplify all answers completely.

Simplify each radical expression.

1. √72 =  

2. ³√108 =  

3. √(25x⁴y³) =  

Perform the indicated operations. Simplify your answer.

4. 5√3 + 2√3 - 4√3

5. √20 + √45 - √80

6. Which of the following is equivalent to (√6)(√18)?

a

√108

b

6√3

c

18

d

6√2

7. Simplify (2√3 + 5)(√3 - 2)

a

6 - 4√3

b

1 - √3

c

11 - √3

d

-4

Simplify each expression by rationalizing the denominator.

8. 1 / √5

9. (√2 + 3) / √2

10. (4) / (√7 - √3)

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