Answer
$-6+0i$.
Work Step by Step
The given expression is
$=\sqrt{-9}\cdot \sqrt{-4}$
$=\sqrt{3^2\cdot (-1)}\cdot \sqrt{2^2\cdot (-1)}$
Use product rule.
$=\sqrt{3^2}\cdot \sqrt{(-1)}\cdot \sqrt{2^2}\cdot \sqrt{(-1)}$
Use $\sqrt{(-1)}=i$
$=3i\cdot 2i$
Multiply.
$=6i^2$
Use $i^2=-1$.
$=-6$.
Rewrite as $a+ib$.
$=-6+0i$.
