SOLUTION: 7 / 3+5i

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Question 829630: 7 / 3+5i
Answer by LinnW(1048) About Me  (Show Source):
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7 / 3+5i
multiply by complement
%28%283-5i%29%2F%283-5i%29%29%287%2F%283%2B5i%29%29
%2821-35i%29%2F%283%5E2%2B5%5E2%29
%2821-35i%29%2F%289%2B25%29
%2821-35i%29%2F%2834%29
Notice that (3+5i)(3-5i) follows the rule (a+bi)(a-bi)=a^2+b^2
If we foil (3+5i)(3-5i) we get
3^2 +3(5i) + 3(-5i) - 25i^2
3^2 - 25i^2
3^2 -25(-1) since i^2 = -1
3^2 + 25
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