Reduce the fraction $\frac{789}{830028}$ to lowest terms by extracting and canceling out $789$.
$$789\sqrt{\frac{1}{1052}}$$
Rewrite the square root of the division $\sqrt{\frac{1}{1052}}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{1052}}$.
$$789\times \frac{\sqrt{1}}{\sqrt{1052}}$$
Calculate the square root of $1$ and get $1$.
$$789\times \frac{1}{\sqrt{1052}}$$
Factor $1052=2^{2}\times 263$. Rewrite the square root of the product $\sqrt{2^{2}\times 263}$ as the product of square roots $\sqrt{2^{2}}\sqrt{263}$. Take the square root of $2^{2}$.
$$789\times \frac{1}{2\sqrt{263}}$$
Rationalize the denominator of $\frac{1}{2\sqrt{263}}$ by multiplying numerator and denominator by $\sqrt{263}$.
