Discussion
The value of \(\sqrt[3]{\sqrt{0.015625}}\) is
Answer: C
The value is 0.5.
Take the square root first, then the cube root:
\[ \begin{aligned} \sqrt{0.015625} &= 0.125 \\ \sqrt[3]{0.125} &= 0.5 \end{aligned} \]
Equivalently, 0.015625 = \(\frac{1}{64} = 0.5^{6}\), and a cube root of a square root is a sixth root. 0.25 is the cube root alone of 0.015625, and 0.05 and 2.5 misplace the decimal point.
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