HP50g simplifing a root

[peacecalc]

Hello Albert,

thank you for responses!

You wrote:
Comment: both examples assumed the root has form a + b√k, all symbols integer.
Assumption might not hold, they might be rationals (and, more likely, irrationals).

That ist true, but when we don't make the assumption that the searched a's or b's are integers, the numbers of possibilites raised ad infinitum.

The problem I described raised for me to program the HP50g to solve the reduced equation: y^3 +py +q = 0. If the HP50g calculates in exact mode you get very wired expressions and even the roots are integers or simple roots, you cannot see this in the results (nor EVAL or SIMPLIFY helps). My work around is to call:

EVAL 10 FIX ->NUM ->PIQ (I tried this for a example which have the roots 5, -3 and root of 2. It is scary for getting exact values...