Simplifying Radicals Worksheet

A Grade 12 math worksheet on simplifying radical expressions, including square roots, cube roots, and rationalizing denominators.

Grade 12 Math AlgebraSimplifying Radicals

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Includes

3 Short AnswerMultiple ChoiceFill in the Blanks

Standards

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

Topics

mathalgebraradicalssimplifyinggrade 12

7 sections · Free to use · Printable

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Simplify each radical expression completely. Show all your work.

1. Simplify: √72

2. Simplify: √(48x³y²)

3. Simplify: ³√(-125)

4. Simplify: ³√(54a⁴b⁶)

5. Rationalize the denominator: 5/√3

6. Rationalize the denominator: 2/(√7 - √5)

7. Which of the following is the simplified form of √180?

6√5

5√6

3√20

18√10

8. To simplify a radical, we look for perfect factors within the radicand.

9. The process of eliminating a radical from the denominator of a fraction is called the denominator.

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