Answer:
[tex]-1 - \frac{\sqrt{3}}{2} i[/tex]
Step-by-step explanation:
[tex]\frac{-4 - \sqrt{-12}}{4}[/tex]
Distributing
[tex]\frac{-4}{4} - \frac{\sqrt{-12}}{4}[/tex]
[tex]-1 - \frac{\sqrt{12 \times -1}}{4}[/tex]
[tex]-1 - \frac{\sqrt{12} \times \sqrt{-1}}{4}[/tex]
[tex]-1 - \frac{\sqrt{12}}{4} i[/tex]
[tex]-1 - \frac{\sqrt{4 \times 3}}{4} i[/tex]
[tex]-1 - \frac{2 \sqrt{3}}{4} i[/tex]
[tex]-1 - \frac{\sqrt{3}}{2} i[/tex]
