Recall that a simplified complex number is of the form:
[tex]z=a+ib,[/tex]
where a and b are real numbers.
Also, recall that if a>0, then:
[tex]\sqrt[]{-a}=\sqrt[]{a}i.[/tex]
Therefore:
[tex]\frac{2+\sqrt[]{-12}}{2}=\frac{2+\sqrt[]{12}i}{2}=\frac{2}{2}+\frac{\sqrt[]{12}}{2}i=1+\sqrt[]{3}i.[/tex]
Answer:
[tex]1+\sqrt[]{3}i.[/tex]
