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in Cubes And Cube Roots by (49.2k points)
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\(\sqrt[2] {\sqrt[3]{X \times 0.000001}}\) = 0.2. The value of x is

(a) 8

(b) 16

(c) 32

(d) 64

1 Answer

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Best answer

(d) 64

\(\sqrt[2]{\sqrt[3]{X\times0.000001}}\) = 0.2

\(\Rightarrow\) \(\sqrt[3]{X \times 0.000001}\) = (0.2)2

= 0.04 (Squaring both the sides)

\(\Rightarrow\) x x 0.000001 = (0.04)3 = 0.000064 (on taking the cube of both the sides)

\(\Rightarrow\) x = \(\frac{0.000064}{0.000001}\) = 64.

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