On Saturday, February 9, 2013 1:30:25 PM UTC-8, Virgil wrote: > In article > <email@example.com>, > JT <firstname.lastname@example.org> wrote: > > Is there always such a base for any N that we can write sqrt(N) > > without approximation? Would it matter if we use NyaN or standard > > bases. > > No and no! > > While sqrt(N) for nonsquare N, can be approximated in standard > notations, I do not see that there can be any analog to digits to the > right of a decimal point for your NyaN numbers.
In base sqrt(n), n is expressed as 100. I'm not sure how to add the natural number 1 to a number in a fractional base system where the base is > 1. I would presume that in base 2.5(decimal), 2 + 1 = 10.111..., though I'm not quite sure.