The three cube roots of 8

using Mathematica

 

NSolve[x^3Š8,x]

{{x®-1.-1.73205 ä},{x®-1.+1.73205 ä},{x®2.}}

 

N[2*ã(4*ä*p/3) ]

-1.-1.73205 ä

 

N[2*ã(2*ä*p/3) ]

-1.+1.73205 ä

 

N[2*ã(0*ä*p/3) ]

2.

 

ListPlot[Map[{Re[#],Im[#]}&,x/.Solve[x3Š8]],PlotRange®2.1,

AspectRatio®Automatic,PlotStyle®PointSize[0.03]]