Question

Solve:
$\sqrt{0.04\times 0.4\times a}=0.4\times 0.04\times -\sqrt{b}$

Answer 1

Consider the given equation.

$\sqrt{0.04\times 0.4\times a}=0.4\times 0.04\times -\sqrt{b}$

On squaring both sides, we get

${\left(\sqrt{0.04\times 0.4\times a}\right)}^2={(0.4\times 0.04\times -\sqrt{b})}^2$

$0.04\times 0.4\times a={\left(0.4\right)}^2\times {\left(0.04\right)}^2\times b$

$a=0.4\times 0.04\times b$

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

Hence, the ratio between $\frac{a}{b}$ is $0.016$.