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Simplifying Radicals Worksheet

Grade 9 Math worksheet focusing on simplifying radical expressions, including square roots and cube roots, and rationalizing denominators.

Grade 9 Math AlgebraSimplifying Radicals
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Includes

3 Short AnswerFill in the BlanksMultiple Choice

Standards

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

Topics

MathAlgebraRadicalsSimplifyingGrade 9
7 sections · Free to use · Printable
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Simplifying Radicals

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Read each question carefully and simplify the radical expressions. Show all your work.

Simplify each radical expression.

1. √72

2. √125

3. √98

Simplify each cube root expression.

1. ³√24

2. ³√108

Complete the following statements:

1. To simplify a radical, you look for   factors under the radical sign.

2. The product rule for radicals states that √a ⋅ √b =  .

3. To rationalize the denominator, you multiply the numerator and denominator by the  .

Rationalize the denominator for each expression.

1. 5 / √3

2. 1 / √7

1. Which of the following is the simplified form of √48?

a

4√3

b

3√4

c

2√12

d

16√3