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Simplifying Radicals Worksheet

Practice simplifying radical expressions by factoring out perfect squares, cubes, and higher powers.

Grade 10 Math AlgebraSimplifying Radicals
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSN.RN.A.2

Topics

radicalssimplifyingalgebragrade 10
7 sections · Free to use · Printable
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Simplifying Radicals

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Simplify each radical expression completely. Show all your work.

1. Simplify: √72

2. Simplify: √128

3. Simplify: √200

4. The simplified form of √(48x²) is  .

5. Simplify: √(75a³b²). The answer is  .

6. The expression √(108y⁵) simplifies to  .

7. Which of the following is the simplified form of ³√54?

a

3³√2

b

2³√3

c

9³√6

d

6³√9

8. The simplified form of √(24x³) is 2x√(6x).

T

True

F

False

9. Simplify: ⁵√(64x¹⁰y⁷)

10. Simplify: √(18a²b³) × √(2ab)