Factor $2025=15\times 135$. Rewrite the square root of the product $\sqrt{15\times 135}$ as the product of square roots $\sqrt{15}\sqrt{135}$.
$$\sqrt{15}\sqrt{25}\sqrt{15}\sqrt{135}$$
Multiply $\sqrt{15}$ and $\sqrt{15}$ to get $15$.
$$15\sqrt{25}\sqrt{135}$$
Calculate the square root of $25$ and get $5$.
$$15\times 5\sqrt{135}$$
Multiply $15$ and $5$ to get $75$.
$$75\sqrt{135}$$
Factor $135=3^{2}\times 15$. Rewrite the square root of the product $\sqrt{3^{2}\times 15}$ as the product of square roots $\sqrt{3^{2}}\sqrt{15}$. Take the square root of $3^{2}$.
