SOLUTION: Find the complex number z = a + bi such that z^3= 2 + 2i where a is less than or equal to 0 and b is greater than or equal to 0. I really don't know how to approach this questio

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Find the complex number z = a + bi such that z^3= 2 + 2i where a is less than or equal to 0 and b is greater than or equal to 0. I really don't know how to approach this questio      Log On


   

Question 246256: Find the complex number z = a + bi such that z^3= 2 + 2i where a is less than or equal to 0 and b is greater than or equal to 0.
I really don't know how to approach this question but I'm guessing you have to use the definition (a + bi)(c + di) = (ac-bd)+(ad+bc)i?

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: Convert the complex number 2%2B2i into polar form z=r%28cos%28x%29%2Bi%2Asin%28x%29%29 where 'r' is the magnitude and 'x' is the angle. From there, use a variation of De Moivre's Theorem. Let me know if this helps or not.