15
QuizMultiple Choice

Radical Functions — Test

Question 15 • Algebra II

What is the following sum? 5 x open paren cube root of x squared y close paren plus 2 times open paren cube root of x to the 5th power y close paren

Answer
A
7 x open paren 6th root of x squared y close paren
B
7 x open paren cube root of x squared y close paren
C
7 x squared open paren 6th root of x y squared close paren
D
7 x squared open paren cube root of x y squared close paren

Explanation

Rewrite the second cube root by factoring out a perfect cube: ∛(x⁵y) = x∛(x²y). The expression becomes 5x∛(x²y) + 2x∛(x²y), so adding the like terms gives 7x∛(x²y), which is choice D.

AI-written and checked against the verified answer.

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