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Math Help - Complex 5th Roots

  1. #1
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    Complex 5th Roots

    Can someone please show me how to find the complex 5th roots of z=-sqrt(3)=i .
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  2. #2
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    Quote Originally Posted by collegemath View Post
    Can someone please show me how to find the complex 5th roots of z=-sqrt(3)=i .
    Convert to polar form. Use deMoivre's Theorem. You will find many examples of this type of question in this subforum.

    If you need more help, please show all your work and say where you get stuck.
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  3. #3
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    Quote Originally Posted by collegemath View Post
    Can someone please show me how to find the complex 5th roots of z=-sqrt(3)=i .
    Do you mean z=-\sqrt3+i?
    Or z=-\sqrt3-i?

    Anyway:
    1. Find the modulus and argument of z (i.e. write z in polar form)

    2. Use DeMoivre to calculate \sqrt[5]{z}= z^\frac{1}{5}
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