SIMPLIFY RADICAL EXPRESSIONS WITH VARIABLES WORKSHEET

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Simplify the expressions. Assume all variables represent positive rational number.

1) ∛y⁵/27y³

2) ∛16z³

3) ∛16a³

4) ∛b⁴/27b

5) ∛x⁵/x²

6) ∛15m⁴n²²

7) ∛y¹¹/y²

8) ∛20s¹⁵t¹¹

9) ∛32/∛-4

10) ∛162x⁵/∛3x²

11) √12x⁴/√3x

12) ∛80n⁵

13) ∛p¹⁷q¹⁸

Answer Key

1) ∛y²/3

2) 2z ∛2

3) 2a ∛2

4) b/3

5) x

6) mn⁷ ∛15mn

7) y³

8) s⁵ t³ ∛20t²

9) -2

10) 3 ∛2x

11) 2x

12) 2n ∛10n²

13) p⁵ q⁶∛p²

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