If is a positive integer, the complex number
has exactly
distinct
roots, then the roots are
, where
.
The complex number is .
Compare with
.
.
The square roots of are :
, here
,
.
If , the root
If , the root
Thus, the square roots are and
.
Graph : \ \
\Draw the polar coordinate plane.
\Plot the complex numbers as shown in below.
\The square roots are and
.
Graph :
\