Question

Can anyone help me with number 5 simplifying negative square roots

Answer 1

$\begin{gathered} \sqrt[]{-32} \\ \rightarrow\sqrt[]{-1\cdot16\cdot2} \\ \rightarrow\sqrt[]{-1\cdot4^2\cdot2} \\ \rightarrow4\sqrt[]{-1\cdot2} \\ \rightarrow4i\sqrt[]{2} \\ 4i\sqrt[]{2}\text{ Final answer} \end{gathered}$