Rewrite the square root of the division $\frac{25}{36}$ as the division of square roots $\frac{\sqrt{25}}{\sqrt{36}}$. Take the square root of both numerator and denominator.
$$\frac{1}{\frac{5}{6}}$$
Divide $1$ by $\frac{5}{6}$ by multiplying $1$ by the reciprocal of $\frac{5}{6}$.
$$1\times \frac{6}{5}$$
Multiply $1$ and $\frac{6}{5}$ to get $\frac{6}{5}$.