Reduce the fraction $\frac{9}{11793600}$ to lowest terms by extracting and canceling out $9$.
$$360\sqrt{\frac{1}{1310400}}$$
Rewrite the square root of the division $\sqrt{\frac{1}{1310400}}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{1310400}}$.
$$360\times \frac{\sqrt{1}}{\sqrt{1310400}}$$
Calculate the square root of $1$ and get $1$.
$$360\times \frac{1}{\sqrt{1310400}}$$
Factor $1310400=120^{2}\times 91$. Rewrite the square root of the product $\sqrt{120^{2}\times 91}$ as the product of square roots $\sqrt{120^{2}}\sqrt{91}$. Take the square root of $120^{2}$.
$$360\times \frac{1}{120\sqrt{91}}$$
Rationalize the denominator of $\frac{1}{120\sqrt{91}}$ by multiplying numerator and denominator by $\sqrt{91}$.
