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)
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