I had this question on a test I recently took and I am still totally unaware of how to solve it. If anyone could help I would greatly appreciate it. Thanks!

Find the cube roots of 3sqrt(3) - 3i

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- Dec 3rd 2012, 07:14 PMbeastcoast515How do I find the cube roots of this?
I had this question on a test I recently took and I am still totally unaware of how to solve it. If anyone could help I would greatly appreciate it. Thanks!

Find the cube roots of 3sqrt(3) - 3i - Dec 3rd 2012, 07:32 PMProve ItRe: How do I find the cube roots of this?

So the cube roots can be found by taking this to the power of and remembering that there will be three roots evenly spaced around the circle, so each separated by an angle of .

The first cube root is

and the other two cube roots are and - Dec 3rd 2012, 07:47 PMbeastcoast515Re: How do I find the cube roots of this?
I can't believe I forgot about e! Thank you very much, Prove it.

- Dec 3rd 2012, 08:34 PMProve ItRe: How do I find the cube roots of this?
Just something to note, since you were given the original complex number in Cartesians, you should really give your answers in Cartesians as well.