SOLUTION: Find the cube roots of 27i

Algebra ->  Trigonometry-basics -> SOLUTION: Find the cube roots of 27i      Log On


   

Question 1038769: Find the cube roots of 27i
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


I'll do you one better: The following is how to find the th root of any complex number .

First convert the complex number to polar form:



and



or



Then



for

So let's apply this to

Polar Form:



and since ,

And

For the angle is



so



For the angle is



so




For the angle is



so




John

My calculator said it, I believe it, that settles it