Question

What's wrong with my answer? I'm doing practice questions and it is saying my answer is wrong?

Answer 1

Given:

The expression is,

$\frac{-12+\sqrt[]{-45}}{24}$

Explanation:

Simplify the expression.

$\begin{gathered} \frac{-12+\sqrt[]{-45}}{24}=\frac{-4\cdot3+\sqrt[]{-5\cdot3\cdot2}}{3\cdot8} \\ =\frac{3(-4+i\sqrt[]{5})}{3\cdot8} \\ =\frac{-4+i\sqrt[]{5}}{8} \end{gathered}$