Question

Evaluate the square root of $\frac{0.342\times 0.684}{0.000342\times 0.000171}$.

• A. $1000$
• B. $1500$
• C. $2000$
• D. $2500$

Answer 1

The correct option is C $2000$

Consider the given fraction $\frac{0.342\times 0.684}{0.000342\times 0.000171}$ and find the square root as follows:

$\sqrt{\frac{0.342\times 0.684}{0.000342\times 0.000171}}=\sqrt{\frac{342\times 684}{342\times 171}\times \frac{1000000\times 1000000}{1000\times 1000}}\{\because 0.1=\frac{1}{10}\}=\sqrt{4\times 1000000}=\sqrt{4000000}=\sqrt{{\left(2000\right)}^2}=2000$

Hence, the square root of $\frac{0.342\times 0.684}{0.000342\times 0.000171}$ is $2000$.