N-th roots of complex numbers?



The closest I've been able to get using standard Maxima functions is

        gcfactor(74*%i+110)?(1/3) => (?1)^(1/6)*(1+%i)*(2+3*%i)

which isn't really satisfactory...

         -s



On Tue, Oct 1, 2013 at 5:46 AM, Aleksas Domarkas <aleksasd873 at gmail.com>wrote:

> see
> http://www.math.utexas.edu/pipermail/maxima/2013/034120.html
>
> The cube root of 110+74i would return 5+i.
> How compute this?
>
> (%i1) expand((5+%i)^3);
> (%o1) 74*%i+110
>
> Aleksas D
>
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