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edited May 25 at 21:44

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Keith Conrad gave a presentation in 2008 that addresses your question, e.g.:

Pell solutions lead to good rational approximations to $\sqrt{d}$:

[![KConrad][1]][1]
^{(PDF download presentation from [http://www.math.uconn.edu/~kconrad/](http://www.math.uconn.edu/~kconrad/ross2008/pelltalkOSU.pdf).)}

^{(PDF download presentation from https://kconrad.math.uconn.edu/.)}

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created Nov 6, 2015 at 0:39

Joseph O'Rourke

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Keith Conrad gave a presentation in 2008 that addresses your question, e.g.:

Pell solutions lead to good rational approximations to $\sqrt{d}$:

[![KConrad][1]][1]
^{(PDF download presentation from [http://www.math.uconn.edu/~kconrad/](http://www.math.uconn.edu/~kconrad/ross2008/pelltalkOSU.pdf).)}