Reduce the fraction $\frac{168}{141120}$ to lowest terms by extracting and canceling out $168$.
$$168\sqrt{\frac{1}{840}}$$
Rewrite the square root of the division $\sqrt{\frac{1}{840}}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{840}}$.
$$168\times \frac{\sqrt{1}}{\sqrt{840}}$$
Calculate the square root of $1$ and get $1$.
$$168\times \frac{1}{\sqrt{840}}$$
Factor $840=2^{2}\times 210$. Rewrite the square root of the product $\sqrt{2^{2}\times 210}$ as the product of square roots $\sqrt{2^{2}}\sqrt{210}$. Take the square root of $2^{2}$.
$$168\times \frac{1}{2\sqrt{210}}$$
Rationalize the denominator of $\frac{1}{2\sqrt{210}}$ by multiplying numerator and denominator by $\sqrt{210}$.
