Answer
$6i$
Work Step by Step
Using $i=\sqrt{-1}$ and the properties of radicals, the expression $
\sqrt{-4}+\sqrt{-16}
$ simplifies to
\begin{array}{l}
\sqrt{4}\cdot\sqrt{-1}+\sqrt{16}\cdot\sqrt{-1}
\\=
2i+4i
\\=
6i
.\end{array}
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