SOLUTION: Find the roots and express your answer in standard/ rectangular form. 1. (-2+2i)^1/3

Question 1178751: Find the roots and express your answer in standard/ rectangular form.
1. (-2+2i)^1/3
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Write the given complex number in the form A cis(B) = A*(cos(B)+i*sin(B)).

Use deMoivre's Theorem to find a power (integer or fraction) of the complex number: To find the n-th power of the complex number, raise the magnitude A to the nth power and multiply the angle by n.

The "primary" root is

The n n-th roots of a complex number are distributed around the complex plane at intervals of 360/n degrees. So

ANSWER: The three cube roots of -2+2i are

Convert to rectangular form using

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