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Math Help - a + bi form?

  1. #1
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    a + bi form?

    how would you do that for "i" and "1-3i"

    it says to find the recepricol of each and put it in a + bi form
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  2. #2
    MHF Contributor red_dog's Avatar
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    \frac{1}{i}=\frac{-i}{-i^2}=-i

    \frac{1}{1-3i}=\frac{1+3i}{(1-3i)(1+3i)}=\frac{1+3i}{10}=\frac{1}{10}+\frac{3}{1  0}i
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