Page 470 - Schaum's Outline of Theory and Problems of Signals and Systems
P. 470
APP. Cl REVIEW OF COMPLEX NUMBERS
The nth root of a complex z is the number w such that
Wn = z = reje (C. 15)
Thus, to find the nth root of a complex number z we must solve
Wn - reje = 0 (C. 16)
which is an equation of degree n and hence has n roots. These roots are given by
- l/nei[e+2(k - l)~]/n
Wk - k = 1,2, ..., n (C.17)