The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: sqrt(x) without approximation?
Replies: 17   Last Post: Nov 6, 2015 8:05 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]

Posts: 43
Registered: 11/26/12
Re: sqrt(x) without approximation?
Posted: Feb 9, 2013 6:32 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Saturday, February 9, 2013 1:30:25 PM UTC-8, Virgil wrote:
> In article
> <>,
> JT <> 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.

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.