Answer
$15i$
Work Step by Step
Note that $\sqrt{-225}=\sqrt{-1( 225)}$
Use the Product Rule $\sqrt{a b}=\sqrt{a} \times \sqrt{b}$ to obtain:
$\begin{aligned} \sqrt{-1(225)} &=\sqrt{-1} \times \sqrt{225} \\ &=i \times \sqrt{15^{2}} \\ &=i \times 15 \\ &=15 i \end{aligned}$