13.3   Continued Fractions for Square Roots

Let's start by looking at the quotients for the continued fraction expansions of sqrt(n) for the first few integers that are not squares. Click on "Quotients" in each applet below:

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Research Question 1

Form a conjecture about the continued fraction quotients of sqrt(n), where n is a positive integer.

(You do not have to prove your conjecture, so concentrate on making it as strong as you can.)


Section 13.1 | Section 13.2 | Section 13.3 | Section 13.4

Chapter 13 | DNT Table of Contents

Copyright © 2001 by W. H. Freeman and Company