Reduce the fraction $\frac{60}{3600}$ to lowest terms by extracting and canceling out $60$.
$$97\sqrt{\frac{1}{60}}$$
Rewrite the square root of the division $\sqrt{\frac{1}{60}}$ as the division of square roots $\frac{\sqrt{1}}{\sqrt{60}}$.
$$97\times \frac{\sqrt{1}}{\sqrt{60}}$$
Calculate the square root of $1$ and get $1$.
$$97\times \frac{1}{\sqrt{60}}$$
Factor $60=2^{2}\times 15$. Rewrite the square root of the product $\sqrt{2^{2}\times 15}$ as the product of square roots $\sqrt{2^{2}}\sqrt{15}$. Take the square root of $2^{2}$.
$$97\times \frac{1}{2\sqrt{15}}$$
Rationalize the denominator of $\frac{1}{2\sqrt{15}}$ by multiplying numerator and denominator by $\sqrt{15}$.
