4
QuizMultiple Choice

Radical Functions — Test

Question 4 • Algebra II

Which expression is equivalent to the fraction with numerator square root of 10 and denominator 4th root of 8 ?

Answer
A
the fraction with numerator 4th root of 200 and denominator 2
B
the fraction with numerator 2 square root of 5 and denominator 5
C
the fraction with numerator 4th root of 20 and denominator 2
D
100 eighths

Explanation

Rewrite the square root as a fourth root: √10 = ⁴√100. Then √10 ÷ ⁴√8 = ⁴√(100/8) = ⁴√(12.5). Choice D is equivalent because ⁴√200 ÷ 2 = ⁴√200 ÷ ⁴√16 = ⁴√(200/16) = ⁴√(12.5).

AI-written and checked against the verified answer.

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