$$\root 3 \of {\sqrt {0.000064} } = ?$$

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Question

$$\root 3 \of {\sqrt {0.000064} } = ?$$

Options:

A . 0.02

B . 0.2

C . 2

D . None of these

Answer: Option B
$$\eqalign{
& = \sqrt {0.000064} \cr
& = \sqrt {\frac{{64}}{{{{10}^6}}}} \cr
& = \frac{8}{{{{10}^3}}} \cr
& = \frac{8}{{1000}} \cr
& = 0.008 \cr
& \therefore \root 3 \of {\sqrt {0.000064} } \cr
& = \root 3 \of {0.008} \cr
& = \root 3 \of {\frac{8}{{1000}}} \cr
& = \frac{2}{{10}} \cr
& = 0.2 \cr} $$

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