If n is a positive integer, the complex number
has exactly n distinct n th roots.
The roots are
, where 
(a)
\The trigonometric form of complex number is
.
Fifth roots of
are :
, here n = 5 and k = 0, 1, 2, 3 and 4.
The five roots are :
\for k = 0,
\
for k = 1,
\
for k = 2,
\
for k = 3,
\
and
for k = 4,
\
(b)
\The complex roots are plotted as an absolute value of 2.996 :
\.gif\")
(c)
\The standard form of the roots:
\
(a) The five roots are :
\
(b) The graph is :
\.gif\")
(c) The standard form of the roots:
\