Reduce the fraction $\frac{168}{1439424}$ to lowest terms by extracting and canceling out $168$.
$$168\sqrt{\frac{1}{8568}}$$
Rewrite the square root of the division $\sqrt{\frac{1}{8568}}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{8568}}$.
$$168\times \frac{\sqrt{1}}{\sqrt{8568}}$$
Calculate the square root of $1$ and get $1$.
$$168\times \frac{1}{\sqrt{8568}}$$
Factor $8568=6^{2}\times 238$. Rewrite the square root of the product $\sqrt{6^{2}\times 238}$ as the product of square roots $\sqrt{6^{2}}\sqrt{238}$. Take the square root of $6^{2}$.
$$168\times \frac{1}{6\sqrt{238}}$$
Rationalize the denominator of $\frac{1}{6\sqrt{238}}$ by multiplying numerator and denominator by $\sqrt{238}$.
