Reduce the fraction $\frac{350}{5267500}$ to lowest terms by extracting and canceling out $350$.
$$350\sqrt{\frac{1}{15050}}$$
Rewrite the square root of the division $\sqrt{\frac{1}{15050}}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{15050}}$.
$$350\times \frac{\sqrt{1}}{\sqrt{15050}}$$
Calculate the square root of $1$ and get $1$.
$$350\times \frac{1}{\sqrt{15050}}$$
Factor $15050=5^{2}\times 602$. Rewrite the square root of the product $\sqrt{5^{2}\times 602}$ as the product of square roots $\sqrt{5^{2}}\sqrt{602}$. Take the square root of $5^{2}$.
$$350\times \frac{1}{5\sqrt{602}}$$
Rationalize the denominator of $\frac{1}{5\sqrt{602}}$ by multiplying numerator and denominator by $\sqrt{602}$.
