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 :
\(c)
\The standard form of the roots:
\
(a) The five roots are :
\(b) The graph is :
\(c) The standard form of the roots:
\