SOLUTION: Divide i over 3+2i x 3-2i over 3-2i

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Question 779496: Divide i over 3+2i x 3-2i over 3-2i
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Divide i over 3+2i x 3-2i over 3-2i
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Divide or multiply?
Use * (Shift 8) for multiply, not x.
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i/(3+2i) * (3-2i)/(3-2i)
= i/(3+2i)
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To rationalize, multiply NUM and DEN by the conjugate of the DEN, 3-2i
= i%2A%283-2i%29%2F%28%283%2B2i%29%2A%283-2i%29%29
= %283i+%2B+2%29%2F%289+%2B+4%29
= %282%2B3i%29%2F13