Question

how do you find the 5th root of 32 and the cube roots of 3√3 + 3i

Answer 1

wold you start out with
z=32
z=32cis0
z^(1/5) cis(2pi k /5)
for the first one?

Answer 2

*would

Answer 3

*32^(1/5) in front of the cis

Answer 4

Are you familiar with the polar form of a complex number?

Answer 5

yep

Answer 6

OK, that will help you to solve these questions.
First find the polar form of 32

Answer 7

6cis pi/6?

Answer 8

Sorry I am not sure what you mean by cis

Answer 9

6(cospi/6+ i sin pi/6)

Answer 10

isn' that what you meant by polar?

Answer 11

No, that is called the Euler form

Answer 12

Some people call your notation the polar form. I learnt it differently, sorry.
Check this video, it is exactly what you need
http://www.youtube.com/watch?v=VOFyDPBTT5w

Answer 13

thanks

Answer 14

another video from MIT that agrees with my studies :)
http://www.youtube.com/watch?v=sn3orkHWqUQ

Answer 15

You can learn a lot from youtube