Question 190310: Hi. I need help finding the three cube root of -2-2i.
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! Hi. I need help finding the three cube root of -2-2i.
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Are you familiar with the Argand diagram?
The magnitude is 2sqrt(2), and the angle is 225degs. Add 360 and 720 degrees, and divide by 3 for the angles of the 3 cube roots.
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You get 75, 195 and 315 degrees.
The magnitude of the cube root is the original magnitude * 1/3.
Is that sufficient? email me via the thank you note if you have further questions, or to check your work.
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