Answer: C
Step-by-step explanation:
You can solve this by first multiplying both sides of the fraction by the conjugate of the denominator.
In this case, the conjugate is (8 - 2i).
So:
[tex]\frac{3-5i}{8+2i} *\frac{8-2i}{8-2i}[/tex]
Simplify:
[tex]\frac{24-46i+10i^2}{64 - 4i^2}[/tex]
Simplify again, knowing that i^2 = -1
[tex]\frac{14 -46i}{68}[/tex]
Then, divide both numbers in the numerator by 68 to get your answer.
[tex]\frac{7}{34} -\frac{23i}{34}[/tex]
