Factor $2625=5^{2}\times 105$. Rewrite the square root of the product $\sqrt{5^{2}\times 105}$ as the product of square roots $\sqrt{5^{2}}\sqrt{105}$. Take the square root of $5^{2}$.
$$5\sqrt{105}\sqrt{9125}$$
Factor $9125=5^{2}\times 365$. Rewrite the square root of the product $\sqrt{5^{2}\times 365}$ as the product of square roots $\sqrt{5^{2}}\sqrt{365}$. Take the square root of $5^{2}$.
$$5\sqrt{105}\times 5\sqrt{365}$$
Multiply $5$ and $5$ to get $25$.
$$25\sqrt{105}\sqrt{365}$$
To multiply $\sqrt{105}$ and $\sqrt{365}$, multiply the numbers under the square root.
$$25\sqrt{38325}$$
Factor $38325=5^{2}\times 1533$. Rewrite the square root of the product $\sqrt{5^{2}\times 1533}$ as the product of square roots $\sqrt{5^{2}}\sqrt{1533}$. Take the square root of $5^{2}$.
