Answer
$6i$
Work Step by Step
$\sqrt {-4}+\sqrt {-16}$
=$\sqrt {-1\times4}+\sqrt {-1\times16}$
=$(\sqrt {-1}\times\sqrt {4})+(\sqrt {-1}\times\sqrt {16})$
=$(i\times\sqrt {4})+(i\times\sqrt {16})$
=$(i\times2)+(i\times4)$
=$(2i)+(4i)$
=$6i$