SOLUTION: find all seventh root of 3+4i

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Question 991020: find all seventh root of 3+4i
Answer by ikleyn(52803) About Me  (Show Source):
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Find all seventh roots of 3+4i.
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3 + 4i = 5%2A%28cos%28alpha%29+%2B+i%2Asin%28alpha%29%29, where alpha = arctan%284%2F3%29.

The seventh roots are    root%287%2C5%29.,

where  k = 0, 1, 2, 3, 4, 5, 6.

See the lesson  How to take a root of a complex number  in this site.