Answer
The result in standard form is, $-2+i\frac{2\sqrt{2}}{5}$.
Work Step by Step
$\begin{align}
& y=\frac{-20+\sqrt{-32}}{10} \\
& =\frac{-20+\sqrt{-4\times 4\times 2}}{10} \\
& =\frac{-20+4\sqrt{-2}}{10} \\
&
\end{align}$
Here, $i=\sqrt{-1}$.
So, $y=-2+i\frac{2\sqrt{2}}{5}$.
Thus, the standard form is $-2+i\frac{2\sqrt{2}}{5}$.
