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
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