Reduce the fraction $\frac{689}{325658606}$ to lowest terms by extracting and canceling out $689$.
$$3+\sqrt{\frac{1}{472654}}$$
Rewrite the square root of the division $\sqrt{\frac{1}{472654}}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{472654}}$.
$$3+\frac{\sqrt{1}}{\sqrt{472654}}$$
Calculate the square root of $1$ and get $1$.
$$3+\frac{1}{\sqrt{472654}}$$
Factor $472654=7^{2}\times 9646$. Rewrite the square root of the product $\sqrt{7^{2}\times 9646}$ as the product of square roots $\sqrt{7^{2}}\sqrt{9646}$. Take the square root of $7^{2}$.
$$3+\frac{1}{7\sqrt{9646}}$$
Rationalize the denominator of $\frac{1}{7\sqrt{9646}}$ by multiplying numerator and denominator by $\sqrt{9646}$.
