Why Mathematica doesn't simplify CubeRoot of meter cubes to meters?
r = Quantity[10, "Meters"]; v = 4/3 r^3 Pi; CubeRoot[% * 3/4 / Pi]
Surd[Quantity[1000, ("Meters")^3], 3]
instead of 10m, which was what I would expect. I think this has something to do with the fact that a the root could be a complex number. I searched the web and found some hints about using assumptions, but it didn't work for me. Please, could anybody help me to understand what I'm doing wrong?
Thank you, L-