Answer:
(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
Step-by-step explanation:
