Question

Complex numbers - nth roots of r(cosa+isina)
What's k there?

Answer 1

Find the fourth roots of the following complex numbers, expressing your answers in polar form
with argument ∈ (−pi,pi ]:
2-(squareroot12)*i

Answer 2

k is listed as all integers. the idea is that if you add 2 pi (360º) to an angle, you get back to the same place. adding (or subtracting) any multiple of 2pi does not change to position of your point (e.g. -60º + 360º gets you the same place as -60º+ 2*360º)