Question

Perform the indicated operation and express the result as a simplified complex number. Please do 39

Answer 1

Recall that a simplified complex number is of the form:

`z=a+ib,`

where a and b are real numbers.

Also, recall that if a>0, then:

`\sqrt[]{-a}=\sqrt[]{a}i.`

Therefore:

`\frac{2+\sqrt[]{-12}}{2}=\frac{2+\sqrt[]{12}i}{2}=(2)/(2)+\frac{\sqrt[]{12}}{2}i=1+\sqrt[]{3}i.`

Answer:

`1+\sqrt[]{3}i.`