SOLUTION: Find all the complex complex roots of 144(cos 210 degrees + i sin 210 degrees) in polar form.

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Question 1143160: Find all the complex complex roots of 144(cos 210 degrees + i sin 210 degrees) in polar form.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


??!!

There are an infinite number of them....
2 square roots
3 cube roots
4 4th roots
...
1000 1000th roots
... etc.

The n n-th roots of 144cis(210) are
%28144%29%5E%281%2Fn%29%2A%28cis%28210%2B2kpi%29%2Fn%29; for k from 0 to n-1