Answer
$2+2i\sqrt 2$
Work Step by Step
$\frac{10+\sqrt -200}{5}=\frac{10+\sqrt (-100\times2)}{5}=\frac{10+10i\sqrt 2}{5}=\frac{5(2+2i\sqrt 2)}{5}=2+2i\sqrt 2$
We know that $\sqrt -1=i$, because $i^{2}=-1$.
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