Reduce the fraction $\frac{458}{5704848}$ to lowest terms by extracting and canceling out $458$.
$$458\sqrt{\frac{1}{12456}}$$
Rewrite the square root of the division $\sqrt{\frac{1}{12456}}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{12456}}$.
$$458\times \frac{\sqrt{1}}{\sqrt{12456}}$$
Calculate the square root of $1$ and get $1$.
$$458\times \frac{1}{\sqrt{12456}}$$
Factor $12456=6^{2}\times 346$. Rewrite the square root of the product $\sqrt{6^{2}\times 346}$ as the product of square roots $\sqrt{6^{2}}\sqrt{346}$. Take the square root of $6^{2}$.
$$458\times \frac{1}{6\sqrt{346}}$$
Rationalize the denominator of $\frac{1}{6\sqrt{346}}$ by multiplying numerator and denominator by $\sqrt{346}$.
