1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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).
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook