Rewrite the square root of the division $\frac{1}{1296}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{1296}}$. Take the square root of both numerator and denominator.
$$4\times \frac{1}{36}$$
Multiply $4$ and $\frac{1}{36}$ to get $\frac{4}{36}$.
$$\frac{4}{36}$$
Reduce the fraction $\frac{4}{36}$ to lowest terms by extracting and canceling out $4$.