Reduce the fraction $\frac{168}{1636992}$ to lowest terms by extracting and canceling out $168$.
$$168\sqrt{\frac{1}{9744}}$$
Rewrite the square root of the division $\sqrt{\frac{1}{9744}}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{9744}}$.
$$168\times \frac{\sqrt{1}}{\sqrt{9744}}$$
Calculate the square root of $1$ and get $1$.
$$168\times \frac{1}{\sqrt{9744}}$$
Factor $9744=4^{2}\times 609$. Rewrite the square root of the product $\sqrt{4^{2}\times 609}$ as the product of square roots $\sqrt{4^{2}}\sqrt{609}$. Take the square root of $4^{2}$.
$$168\times \frac{1}{4\sqrt{609}}$$
Rationalize the denominator of $\frac{1}{4\sqrt{609}}$ by multiplying numerator and denominator by $\sqrt{609}$.
