algebra precalculus - Quadratic factor to complex numbers

How to convert this quadratic factor to complex number form? (With steps please)
Reference: $Z = a + bi$, $i = \sqrt{-1}$

$$-3 + \frac{\sqrt{-12}}{2}$$

Thanks!

Answer

Hint: $$-3+\frac{\sqrt{-12}}{2} = -3 + \frac{\sqrt{12}\cdot\sqrt{-1}}{2}$$