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}. $