Rewrite the square root of the division $\frac{81}{625}$ as the division of square roots $\frac{\sqrt{81}}{\sqrt{625}}$. Take the square root of both numerator and denominator.
$$\sqrt{\frac{9}{25}}$$
Rewrite the square root of the division $\frac{9}{25}$ as the division of square roots $\frac{\sqrt{9}}{\sqrt{25}}$. Take the square root of both numerator and denominator.