Question

If $\sqrt{0.02\times 0.2\times a}=0.2\times 0.2\times \sqrt{b}$ then value of $\frac{a}{b}$ will be

Answer 1

$\sqrt{0.02\times 0.2\times a}=0.2\times 0.2\times \sqrt{b}$

$\Rightarrow \sqrt{\frac{2}{100}\times \frac{2}{10}\times a}=\frac{4}{100}\sqrt{b}$

$\Rightarrow \sqrt{\frac{4}{1000}a}=\frac{2}{100}\sqrt{b}$

Squaring both sides,

$\Rightarrow \frac{4a}{1000}=\frac{4b}{10000}$

$\Rightarrow \frac{4a}{4b}=\frac{1000}{10000}=\frac{1}{10}$