Answer
$16+30i$
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.
$(-5-\sqrt {-9})^2$
$(-5-\sqrt {-9})(5-\sqrt {-9})$
$(-5-i\sqrt {9})(-5-i\sqrt {9})$
$(-5-3i)(-5-3i)$
$25+15i+15i+9(-1)$
$(25-9)+(15+15)i$
$16+30i$
