SOLUTION: How to find three cube roots of -64i?

Question 1074318: How to find three cube roots of -64i?
Answer by Edwin McCravy(20064) (Show Source): You can put this solution on YOUR website!



Therefore:



We use DeMoivre's theorem to multiply the angle by the exponent :






We can use any three consecutive integers for n to obtain the
three cube roots:

Using n=0



Using n=1



Using n=2



So the three cube roots of -64i are

, , and 

Edwin

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