Reduce the fraction $\frac{789}{3156}$ to lowest terms by extracting and canceling out $789$.
$$789\sqrt{\frac{1}{4}}$$
Rewrite the square root of the division $\frac{1}{4}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{4}}$. Take the square root of both numerator and denominator.
$$789\times \frac{1}{2}$$
Multiply $789$ and $\frac{1}{2}$ to get $\frac{789}{2}$.