Question

What of the following complex numbers is equivalent to?

Answer 1

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

multiply numerator and denominator by (8-2i) (conjugate of (8+2i))

(3 - 5i) x (8-2i)/ (8+2i)x(8-2i)

24 - 6i -40i + (5i)x(2i) / 64 -16i +16i -(2i)(2i)

24 - 46i + 10i^2 / 64 -4i^2

24 - 46i +10(-1) / 64 -4(-1)

Note:

i =sqrt(-1)

Get both side power of 2

i ^2=(sqrt(-1))^2

= -1

24 - 46i -10 / 64 +4

14 - 46i / 68

simplify;

14/68 - 46i/68

7/34 - 23i/34

Explanation: