HP50g simplifing a root

[peacecalc]

Hello Albert,

Quote:a = ³√(q + √Δ) + ³√(q - √Δ)
   = ³√((A/8) + √(R/64)) + ³√((A/8) - √(R/64))
   = (³√(A+√R) + ³√(A-√R)) / 2

This was the origin of my thoughts for simplyfing, because I construct examples to test cardanos formular i keyed in my HP50g and I got that kind of "garbage" for simple solutions i. e. 1 minus root of two. So my question arises, why my calc cannot simplify this...the rest is history in nearly 30 posts...