If $$\sqrt x \div \sqrt {441} = 0.02{\text{,}}$$    then the value of x is ?

A. 0.1764

B. 1.764

C. 1.64

D. 2.64

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & \Leftrightarrow \frac{{\sqrt x }}{{\sqrt {441} }} = 0.02 \cr & \Leftrightarrow \frac{{\sqrt x }}{{21}} = 0.02 \cr & \Leftrightarrow \sqrt x = 0.02 \times 21 \cr & \Leftrightarrow \sqrt x = 0.42 \cr & \Leftrightarrow x = {\left( {0.42} \right)^2} \cr & \Leftrightarrow x = 0.1764{\text{ }} \cr} $$