Reduce the fraction $\frac{168}{1580544}$ to lowest terms by extracting and canceling out $168$.
$$168\sqrt{\frac{1}{9408}}$$
Rewrite the square root of the division $\sqrt{\frac{1}{9408}}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{9408}}$.
$$168\times \frac{\sqrt{1}}{\sqrt{9408}}$$
Calculate the square root of $1$ and get $1$.
$$168\times \frac{1}{\sqrt{9408}}$$
Factor $9408=56^{2}\times 3$. Rewrite the square root of the product $\sqrt{56^{2}\times 3}$ as the product of square roots $\sqrt{56^{2}}\sqrt{3}$. Take the square root of $56^{2}$.
$$168\times \frac{1}{56\sqrt{3}}$$
Rationalize the denominator of $\frac{1}{56\sqrt{3}}$ by multiplying numerator and denominator by $\sqrt{3}$.
