Answer
$-8i$
Work Step by Step
Make the square roots positive by taking out the $i$ and simplify them. then FOIL the two groups of parentheses and combine like terms.
$(-2+\sqrt {-4})^2$
$(-2+\sqrt {-4})(-2+\sqrt {-4})$
$(-2+i\sqrt {4})(-2+i\sqrt {4})$
$(-2+2i)(-2+2i)$
$4-4i-4i+4(-1)$
$(4-4)+(-4-4)i$
$0-8i$
$-8i$
