Calculate $25$ to the power of $\frac{1}{2}$ and get $5$.
$$\sqrt{\frac{36\times 5}{0.04^{-\frac{3}{2}}}}$$
Multiply $36$ and $5$ to get $180$.
$$\sqrt{\frac{180}{0.04^{-\frac{3}{2}}}}$$
Calculate $0.04$ to the power of $-\frac{3}{2}$ and get $125$.
$$\sqrt{\frac{180}{125}}$$
Reduce the fraction $\frac{180}{125}$ to lowest terms by extracting and canceling out $5$.
$$\sqrt{\frac{36}{25}}$$
Rewrite the square root of the division $\frac{36}{25}$ as the division of square roots $\frac{\sqrt{36}}{\sqrt{25}}$. Take the square root of both numerator and denominator.