Reduce the fraction $\frac{789}{1243464}$ to lowest terms by extracting and canceling out $789$.
$$789\sqrt{\frac{1}{1576}}$$
Rewrite the square root of the division $\sqrt{\frac{1}{1576}}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{1576}}$.
$$789\times \frac{\sqrt{1}}{\sqrt{1576}}$$
Calculate the square root of $1$ and get $1$.
$$789\times \frac{1}{\sqrt{1576}}$$
Factor $1576=2^{2}\times 394$. Rewrite the square root of the product $\sqrt{2^{2}\times 394}$ as the product of square roots $\sqrt{2^{2}}\sqrt{394}$. Take the square root of $2^{2}$.
$$789\times \frac{1}{2\sqrt{394}}$$
Rationalize the denominator of $\frac{1}{2\sqrt{394}}$ by multiplying numerator and denominator by $\sqrt{394}$.
