Question

Please help me out and explain it to me​

Answer 1

Answer: C

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:

`(3-5i)/(8+2i) *(8-2i)/(8-2i)`

Simplify:

`(24-46i+10i^2)/(64 - 4i^2)`

Simplify again, knowing that i^2 = -1

`(14 -46i)/(68)`

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

`(7)/(34) -(23i)/(34)`