Reduce the fraction $\frac{350}{490000}$ to lowest terms by extracting and canceling out $350$.
$$350\sqrt{\frac{1}{1400}}$$
Rewrite the square root of the division $\sqrt{\frac{1}{1400}}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{1400}}$.
$$350\times \frac{\sqrt{1}}{\sqrt{1400}}$$
Calculate the square root of $1$ and get $1$.
$$350\times \frac{1}{\sqrt{1400}}$$
Factor $1400=10^{2}\times 14$. Rewrite the square root of the product $\sqrt{10^{2}\times 14}$ as the product of square roots $\sqrt{10^{2}}\sqrt{14}$. Take the square root of $10^{2}$.
$$350\times \frac{1}{10\sqrt{14}}$$
Rationalize the denominator of $\frac{1}{10\sqrt{14}}$ by multiplying numerator and denominator by $\sqrt{14}$.
