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bgbeidas
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Which of the following is equal to \(\left( \frac{2 \sqrt[3]{3}}{\sqrt{2}} \right)^3\)?
A. \(\frac{3 \sqrt{2}}{2}\)
B. \(3 \sqrt{2}\)
C. \(6 \sqrt{2}\)
D. \(12\)
E. \( 12 \sqrt{2}\)
A. \(\frac{3 \sqrt{2}}{2}\)
B. \(3 \sqrt{2}\)
C. \(6 \sqrt{2}\)
D. \(12\)
E. \( 12 \sqrt{2}\)
Source : Q206 GMAT Official Guide Quantitative Review 2025-2026: Book + Online Question Bank
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Updated on: 09 Jul 2025, 11:37
Originally posted by ScottTargetTestPrep on 06 Jun 2018, 16:56.
Last edited by Bunuel on 09 Jul 2025, 11:37, edited 1 time in total.
Last edited by Bunuel on 09 Jul 2025, 11:37, edited 1 time in total.
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According to the answer choices, only ^3√3 makes sense since (2^3)^3 = 2^9 will produce an answer much bigger than any of the given choices. It’s perhaps a typo.
Solution:
(2)^3 = 8
(^3√3)^3 = 3
(√2)^3 = 2√2
So (8 x 3)/(2√2) = (24)/(2√2) = (12)/√2 * (√2/√2) = (12√2)/2 = 6√2
Answer: C
Solution:
(2)^3 = 8
(^3√3)^3 = 3
(√2)^3 = 2√2
So (8 x 3)/(2√2) = (24)/(2√2) = (12)/√2 * (√2/√2) = (12√2)/2 = 6√2
Answer: C
09 Jul 2025, 11:17
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kingbucky
\(\left( \frac{2 \sqrt[3]{3}}{\sqrt{2}} \right)^3\)
\((\sqrt{2}*\sqrt[3]{3})^3\)
\(2^{3/2} * 3\)
\(2*2^{1/2} * 3\)
\(6 \sqrt{2}\)
Answer C.
