Question

If $\sqrt{0.04\times 0.04\times a}=0.004\times 4\times \sqrt{b}$ ,then find the value of $\frac{a}{b}$

Answer 1

$\sqrt{0.04\times 0.04\times a}=0.004\times 4\times \sqrt{b}$

$0.04\sqrt{a}=0.016\sqrt{b}$

$\frac{\sqrt{a}}{\sqrt{b}}=\frac{0.016}{0.04}$

$\frac{\sqrt{a}}{\sqrt{b}}=\frac{2}{5}$

$\frac{a}{b}=\frac{4}{25}$