Question

Please help me out and explain it to me​

Answer 1

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:

$\frac{3-5i}{8+2i} *\frac{8-2i}{8-2i}$

Simplify:

$\frac{24-46i+10i^2}{64 - 4i^2}$

Simplify again, knowing that i^2 = -1

$\frac{14 -46i}{68}$

Then, divide both numbers in the numerator by 68 to get your answer.

$\frac{7}{34} -\frac{23i}{34}$