SOLUTION: 3 + 2i/2 + i

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Question 253807: 3 + 2i/2 + i
Found 2 solutions by drk, palanisamy:
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
WE have
%283+%2B+2i%29%2F%282+%2B+i%29
step 1 - multiply by conjugate of 2 - i to get
%28%283+%2B+2i%29%282-i%29%29%2F%28%282+%2B+i%29%282-i%29%29
we simplify to get
%288+%2B+i%29%2F3

Answer by palanisamy(496) About Me  (Show Source):
You can put this solution on YOUR website!
(3+2i)/(2+i) = (3+2i)(2-i)/(2+i)(2-i)
= [6-3i+4i+2]/[2^2-i^2]
= (8+i)/(4+1)
= (8+i)/5