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Operations with Radicals

This worksheet focuses on simplifying, adding, subtracting, multiplying, and dividing radical expressions for Grade 10 students.

Grade 10 Math AlgebraOperations with Radicals
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Includes

2 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSA.APR.A.1CCSS.MATH.CONTENT.HSA.APR.B.3
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Operations with Radicals

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

Simplify the following radical expressions:

1. √72

2. ³√108

3. Which of the following is equivalent to 5√3 - 2√12?

a

3√3

b

√3

c

√6

d

3√-9

Complete the following multiplication problems:

4. √5 • √10 =  

5. (2√3)(4√6) =  

Divide and rationalize the denominator where necessary:

6. √48 / √3

7. 10 / (√5)

8. True or False: (√x + √y)² = x + y

T

True

F

False