HP50g simplifing a root

[peacecalc]

Hello Albert,

The HP50g reduces every squareroot if it contains a single integer fully. So the input and the output has to had the same squareroot k. My program takes that from the input and doesn't change it. So what do I overlook?

For calculating A and B I use k as a given value, hmm is that wrong? Are there possibly other solutions with another k as given? But when this would be possibly then we have a lot of more solutinon, too much...?