Aptitude Question ID: 107025

The value of \sqrt{\sqrt[3]{0.004096}} is :
[A]0.4
[B]0.04
[C]0.004
[D]4

0.4
Given Expression : \left ( \sqrt[3]{0.004096} \right )^{\frac{1}{2}}
= \left ( 0.004096 \right )^{\frac{1}{3}\times \frac{1}{2}}
= \left ( \frac{4096}{1000000} \right )^{\frac{1}{6}}=\left [ \left ( \frac{4}{10} \right )^{6} \right ]^{\frac{1}{6}}
= \left ( \frac{4}{6} \right )^{6\times \frac{1}{6}}
= \frac{4}{10} = 0.4
Hence option [A] is correct answer.

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