The value of $${\text{ }}\root 3 \of {\frac{{0.2 \times 0.2 \times 0.2 + 0.04 \times 0.04 \times 0.04}}{{0.4 \times 0.4 \times 0.4 + 0.08 \times 0.08 \times 0.08}}} $$ is ?
A. 0.125
B. 0.25
C. 0.5
D. 0.75
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & = \root 3 \of {\frac{{0.2 \times 0.2 \times 0.2 + 0.04 \times 0.04 \times 0.04}}{{0.4 \times 0.4 \times 0.4 + 0.08 \times 0.08 \times 0.08}}} \cr & = \root 3 \of {\frac{{0.008 + 0.000064}}{{0.064 + 0.000512}}} \cr & = \root 3 \of {\frac{{0.008064}}{{0.064512}}} \cr & = \root 3 \of {\frac{{8064}}{{64512}}} \cr & = \root 3 \of {\frac{1}{8}} \cr & = \frac{1}{2} \cr & = 0.5 \cr} $$Related Questions on Square Root and Cube Root
The least perfect square, which is divisible by each of 21, 36 and 66 is:
A. 213444
B. 214344
C. 214434
D. 231444
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