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    lyndalei's Avatar
    lyndalei Posts: 1, Reputation: 1
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    #1

    Apr 29, 2006, 12:16 PM
    De Moivre's Theorem and nth roots
    I am a Junior in High School and would like to confirm the answer to this question: 2-3i/4+5i = the square root of 41? This is what I am coming up with, but am not sure I am doing it correctly. The directions are to simplify and write in the from a+bi.

    Thanks,
    s_cianci's Avatar
    s_cianci Posts: 5,472, Reputation: 760
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    #2

    Aug 9, 2006, 05:15 PM
    2 - 3i 2 - 3i 4 - 5i 8 - 10i - 12i + 15i^2 -7 - 22i
    ----- = ------ *------ = -------------------- = ----------- =
    4 + 5i 4 + 5i 4 - 5i 16 - 25i^2 41

    -7/41 - (22/41)i
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