Quantitative Aptitude Ques 691

Question: The value of $ \sqrt[3]{2^{4}\sqrt{{2^{-5}}\sqrt[6]{2^{6}}}} $ is

Options:

A) $ \sqrt[3]{4} $

B) $ \sqrt[3]{8} $

C) $ \sqrt[3]{2} $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ \sqrt[3]{2^{4}\sqrt{{2^{-5}}{{\sqrt[6]{2}}^{6}}}}=\sqrt[3]{2^{4}\sqrt{{2^{-5}}\times 2}} $ $ =\sqrt[3]{2^{4}\sqrt{{2^{-4}}}}=\sqrt[3]{2^{4}{2^{-2}}} $ $ =\sqrt[3]{2^{2}}=\sqrt[3]{4} $
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