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Math Help - Help needed with plotting solutions on complex plane

  1. #1
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    Help needed with plotting solutions on complex plane

    Hi, could someone show me how I would go about doing this one?

    Find all solutions of z^{4}= 8 + 8\sqrt{3} i and plot them in the complex plane.

    How many solutions should I be getting? I know that they should lie on some sort of circle... should I include this circle in my graph?

    Any help would be greatly appreciated!

    Thanks,
    rorosingsong
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  2. #2
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    No, you should only show the solutions.

    There are always two square roots, three cube roots, four fourth roots, etc. They are all equal in magnitude and are evenly spaced around a circle.
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  3. #3
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    There are always two square roots, three cube roots, four fourth roots, etc.
    Ah, thanks! I didn't know that -- that helps alot.

    You've been fantastically helpful "Prove It", thanks so much.
    ^_^
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