Square Root: Digit by Digit Algorithm

[brouhaha]

I'm off-topic here, but you cited William Egbert's HP Journal article "Personal Calculator Algorithms I: Square Roots", and that reminds me of a very optimistic statement Egbert made in the second of the four articles, "Personal Calculator Algorithms II: Trigonometric Functions", which I quote:

"The problem with this scaling process is that in current computers numbers can be expressed only to a limited number of digits,"

I'm still looking forward to the future computers that can express numbers to an unlimited number of digits.