Rewrite the square root of the division $\frac{1}{25}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{25}}$. Take the square root of both numerator and denominator.
$$\frac{\frac{1}{5}}{\sqrt{\frac{64}{25}}}$$
Rewrite the square root of the division $\frac{64}{25}$ as the division of square roots $\frac{\sqrt{64}}{\sqrt{25}}$. Take the square root of both numerator and denominator.
$$\frac{\frac{1}{5}}{\frac{8}{5}}$$
Divide $\frac{1}{5}$ by $\frac{8}{5}$ by multiplying $\frac{1}{5}$ by the reciprocal of $\frac{8}{5}$.
$$\frac{1}{5}\times \frac{5}{8}$$
Multiply $\frac{1}{5}$ times $\frac{5}{8}$ by multiplying numerator times numerator and denominator times denominator.
