The expression (512^(1/3))^(1/2) is equivalent to:
A) 2√2
B) 2·⁶√2
C) ∛4
D) ⁶√2
E) √2
IMAT 2024 · Question 48
Q48 - Powers and roots
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The correct answer is A) 2√2.
512 = 2⁹. A cube root and then a square root is the same as a power of 1/6: 2^(9/6) = 2^(3/2) = 2 × √2 = 2√2.
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