# How do you simplify (2 + square root of -3)(-1 + square root of -12)?

$- 8 + 3 i \sqrt{3}$
$\left(2 + i \sqrt{3}\right) \left(- 1 + i \sqrt{12}\right)$
$= - 2 + 2 i \sqrt{12} - i \sqrt{3} - \sqrt{36}$
$= - 2 - 6 + i \left(2 \cdot 2 \sqrt{3} - \sqrt{3}\right)$