Reduce the fraction $\frac{9}{360}$ to lowest terms by extracting and canceling out $9$.
$$360\sqrt{\frac{1}{40}}$$
Rewrite the square root of the division $\sqrt{\frac{1}{40}}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{40}}$.
$$360\times \frac{\sqrt{1}}{\sqrt{40}}$$
Calculate the square root of $1$ and get $1$.
$$360\times \frac{1}{\sqrt{40}}$$
Factor $40=2^{2}\times 10$. Rewrite the square root of the product $\sqrt{2^{2}\times 10}$ as the product of square roots $\sqrt{2^{2}}\sqrt{10}$. Take the square root of $2^{2}$.
$$360\times \frac{1}{2\sqrt{10}}$$
Rationalize the denominator of $\frac{1}{2\sqrt{10}}$ by multiplying numerator and denominator by $\sqrt{10}$.
