
Re: sqrt(x) without approximation?
Posted:
Feb 9, 2013 6:32 PM


On Saturday, February 9, 2013 1:30:25 PM UTC8, Virgil wrote: > In article > <98c9f2d8e09f4cc3aedad51f831b840c@k14g2000vbv.googlegroups.com>, > JT <jonas.thornvall@gmail.com> 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.

