SOLUTION: determine all the indicated roots and represent them graphically : a) (4*sqr(2)+4*sqr(2i))^1/3

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Question 1104068: determine all the indicated roots and represent them graphically :
a) (4*sqr(2)+4*sqr(2i))^1/3
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


4%2Asqrt%282%29%2B4i%2Asqrt%282%29+=+8cis%2845%29+=+8cis%28405%29+=+8cis%28765%29

By deMoivre's Theorem, the three cube roots are

2cis%2815%29, 2cis%28135%29, and 2cis%28255%29