Quantitative Aptitude Ques 2455

Question: Which of the following is the smallest number?

Options:

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

B) $ \sqrt[4]{6} $

C) $ \sqrt[6]{15} $

D) $ \sqrt[12]{245} $

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ \because $ 3, 4, 6 and 12 LCM = 12

$ \therefore $ $ \sqrt[3]{4}=\sqrt[12]{4^{4}}=\sqrt[12]{256} $ $ \sqrt[4]{6}=\sqrt[12]{6^{3}}=\sqrt[12]{216} $ $ \sqrt[6]{15}=\sqrt[12]{15^{2}}=\sqrt[12]{225} $ and $ \sqrt[12]{245}=\sqrt[12]{245} $ Hence, smallest value is $ \sqrt[4]{6}. $

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