Questim Write sqrt (-24) in simplest catizal from. Answer stemptiont of: square

To simplify $\sqrt{-24}$, we can rewrite it as $\sqrt{-1 \cdot 24}$. Since $\sqrt{-1} = i$, we have $\sqrt{-24} = \sqrt{-1} \cdot \sqrt{24} = i \cdot \sqrt{24}$. <br /><br />Next, we simplify $\sqrt{24}$. We can rewrite 24 as $4 \cdot 6$, so $\sqrt{24} = \sqrt{4 \cdot 6} = \sqrt{4} \cdot \sqrt{6} = 2 \sqrt{6}$. <br /><br />Therefore, $\sqrt{-24} = i \cdot 2 \sqrt{6} = 2i \sqrt{6}$. <br /><br />So, the simplest form of $\sqrt{-24}$ is $2i \sqrt{6}$.