Answer
$\left(\sqrt{3}+\sqrt{5.6} \right)i\approx 4.098i $
Work Step by Step
Given
\begin{equation}
\sqrt{-3}+\sqrt{-5.6}.
\end{equation}
Replace the square root of negative $1$ by $i$.
\begin{equation}
\begin{aligned}
\sqrt{-3}+\sqrt{-5.6}&=\sqrt{-1}\cdot \sqrt{3}+ \sqrt{-1}\cdot \sqrt{5.6}\\
& = \left(\sqrt{3}+\sqrt{5.6} \right)\sqrt{-1}\\
&=\left(\sqrt{3}+\sqrt{5.6} \right)i\\
&\approx 4.098i.
\end{aligned}
\end{equation} The solution is $$\sqrt{-3}+\sqrt{-5.6}\approx 4.098i. $$
