SOLUTION: Tutor could you help me? simplify 3+6i/5+i

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Question 139680: Tutor could you help me? simplify 3+6i/5+i
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
simplify
%28%283%2B6i%29%29%2F%28%285%2Bi%29%29
Multiply by conjugate of (5+i), namely (5-i)
%28%283%2B6i%29%29%2F%28%285%2Bi%29%29 * %28%285-i%29%29%2F%28%285-i%29%29 = %28%2815+-+3i+%2B+30i+-+6i%5E2%29%29%2F%28%2825+-+i%5E2%29%29 =
:
%28%2815+%2B+27i+-+6%28-1%29%29%29%2F%28%2825+-+%28-1%29%29%29 = %28%2815+%2B+27i+%2B+6%29%29%2F%28%2825+%2B+1%29%29 = %28%2821+%2B+27i%29%29%2F%2826%29
:
How about this; could you follow what we did here? Any questions?