Algebra II/ Trig help?

Question

True or false and why... geometrically the nth roots of any complex number z are all equally spaced around the unit circle centered at the origin

Answer 1

They are equally spaced but not around the
unit circle but around a circle with radius =
IzI^1/n centered at the origin
because if
z= r<@+2kpi
z^1/n = r^1/n < @/n+2kpi/n with k=0,1..n-1 so to @/n you add 2pi/n and to this again 2pi/n and so on