Solution (source code)

= Solution

The original PDF asks for cube roots of $8$. Their <complex modulus> is $2$, and their arguments are $2k\pi/3$, $k=0,1,2$. Converting to Cartesian form gives
$$
\boxed{2,\qquad -1+i\sqrt3,\qquad -1-i\sqrt3.}
$$
Cubing any one gives the positive real number $8$.