The value of $$\sqrt{\frac{(0.1)^2+(0.01)^2+(0.008)^2}{(0.01)^2+(0.001)^2+(0.0008)^2}}$$ is

Correct Answer: 10

Solution

Each term in the denominator is one tenth of the corresponding term in the numerator before squaring. Therefore the denominator is $$\frac{1}{100}$$ of the numerator. Hence the expression is $$\sqrt{100}=10$$.

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