Reduce the fraction $\frac{9}{3240}$ to lowest terms by extracting and canceling out $9$.
$$360\sqrt{\frac{1}{360}}$$
Rewrite the square root of the division $\sqrt{\frac{1}{360}}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{360}}$.
$$360\times \frac{\sqrt{1}}{\sqrt{360}}$$
Calculate the square root of $1$ and get $1$.
$$360\times \frac{1}{\sqrt{360}}$$
Factor $360=6^{2}\times 10$. Rewrite the square root of the product $\sqrt{6^{2}\times 10}$ as the product of square roots $\sqrt{6^{2}}\sqrt{10}$. Take the square root of $6^{2}$.
$$360\times \frac{1}{6\sqrt{10}}$$
Rationalize the denominator of $\frac{1}{6\sqrt{10}}$ by multiplying numerator and denominator by $\sqrt{10}$.
