[tex]\bf \textit{recall that }i^2=-1\\\\
-------------------------------\\\\
-2i\sqrt{-12}\quad
\begin{cases}
12=2\cdot 2\cdot 3\\
\qquad 2^2\cdot 3
\end{cases}\implies -2i\sqrt{-1\cdot 2^2\cdot 3}
\\\\\\
-2i\sqrt{-1}\cdot \sqrt{2^2}\cdot \sqrt{3}\implies -2i\cdot i\cdot 2\cdot \sqrt{3}\implies -4i^2\sqrt{3}
\\\\\\
-4(-1)\sqrt{3}\implies 4\sqrt{3}[/tex]
