(complex) root of unity

[salvomic]

(01-16-2021 02:57 PM)rprosperi Wrote:  Roots of a number?

Perhaps if you provide an example it would be more clear?

e.g. the three roots of 3√1 or the four of 4√-3 or the two of √(1+i) ...

Like the function in Math1 pac for HP 41CX; input img and real part of the complex number, then the nRth exponent, to get the n roots...
See here the three roots of unity, but I need something to get the roots of any complex number.

Code:


Z "img"
Y "real"
X nRth
XEQ "Z↑1/N"

The solution of robmio below could be ok, with some semplications, however...

Salvo