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Homework Help: Find six distanct sixth roots of -1 + i root 3 I want check my answer

  1. Apr 19, 2010 #1
    Find six distanct sixth roots of -1 + i root 3
    I want check my answer



    ==== >



    x = -1 y = root 3



    r = 2

    tan Q = 2pi/3



    -1 + i roo3 = 2 { cos ( 2 pi / 3 ) + i sin 2 pi / 3 )





    = 2 e ^2 pi i / 3 }



    now six root



    -1 + i roo3 = 2^1/6 e ( 2 pi/3 / 6 ) i









    now six root

    -1 + i root 3 =
     
  2. jcsd
  3. Apr 19, 2010 #2

    Mark44

    Staff: Mentor

    Q is 2pi/3, but tan Q is -sqrt(3)/1
    You should learn to check your own answers. If you have a complex number z that is one of the 6th roots of -1 + i sqrt(3), then it must be that z6 = -1 + i sqrt(3).
     
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