Reduce the fraction $\frac{350}{33600}$ to lowest terms by extracting and canceling out $350$.
$$350\sqrt{\frac{1}{96}}$$
Rewrite the square root of the division $\sqrt{\frac{1}{96}}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{96}}$.
$$350\times \frac{\sqrt{1}}{\sqrt{96}}$$
Calculate the square root of $1$ and get $1$.
$$350\times \frac{1}{\sqrt{96}}$$
Factor $96=4^{2}\times 6$. Rewrite the square root of the product $\sqrt{4^{2}\times 6}$ as the product of square roots $\sqrt{4^{2}}\sqrt{6}$. Take the square root of $4^{2}$.
$$350\times \frac{1}{4\sqrt{6}}$$
Rationalize the denominator of $\frac{1}{4\sqrt{6}}$ by multiplying numerator and denominator by $\sqrt{6}$.
