Finding the 'n roots of unity' means to find all solutions to the equation
(1 being unity).
We can write 1 in complex polar form as
where
Taking the nth root then gives
For
the
are all distinct and can be plotted on an Argand diagram. The roots all lie on a circle of radius 1.
The 5 th roots of unity are
for
These are
These solutions are plotted on the Argand diagram below.
