Answer
$-4\sqrt 3-2i\sqrt {6}$
Work Step by Step
Make the square roots positive by creating an imaginary number outside each negative one. Then distribute and multiply. Then simplify the radicals.
$\sqrt {-12}(\sqrt {-4}-\sqrt 2)$
$i\sqrt {12}(i\sqrt {4}-\sqrt 2)$
$-\sqrt {48}-i\sqrt {24}$
$-4\sqrt 3-2i\sqrt {6}$
