5
QuizMultiple Choice

Multiplying Radicals — Quiz

Question 5 • College Readiness Mathematics

What is the following product? cube root of 24 times cube root of 45

Answer
A
6 times open paren cube root of 5 close paren
B
4 times open paren cube root of 6 close paren
C
cube root of 69
D
6 times open paren cube root of 10 close paren

Explanation

Combine the cube roots: ∛24 × ∛45 = ∛(24 × 45) = ∛1080. Since 1080 = 216 × 5 and ∛216 = 6, the product is 6∛5, which is choice A.

AI-written and checked against the verified answer.

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