Reduce the fraction $\frac{458}{7551504}$ to lowest terms by extracting and canceling out $458$.
$$458\sqrt{\frac{1}{16488}}$$
Rewrite the square root of the division $\sqrt{\frac{1}{16488}}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{16488}}$.
$$458\times \frac{\sqrt{1}}{\sqrt{16488}}$$
Calculate the square root of $1$ and get $1$.
$$458\times \frac{1}{\sqrt{16488}}$$
Factor $16488=6^{2}\times 458$. Rewrite the square root of the product $\sqrt{6^{2}\times 458}$ as the product of square roots $\sqrt{6^{2}}\sqrt{458}$. Take the square root of $6^{2}$.
$$458\times \frac{1}{6\sqrt{458}}$$
Rationalize the denominator of $\frac{1}{6\sqrt{458}}$ by multiplying numerator and denominator by $\sqrt{458}$.