# Graphing Continued Fractions of Quadratic Irrationals

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Let , . The continued fraction of is either finite (when is a perfect square so that is rational) or eventually periodic (when is not a perfect square so that is irrational).

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Contributed by: George Beck (July 2012)

Open content licensed under CC BY-NC-SA

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Reference

[1] E. R. Burger, "A Tail of Two Palindromes," *The American Mathematical Monthly*, 112, 2005 pp. 311–321. mathdl.maa.org/mathDL/22/?pa=content&sa=viewDocument&nodeId=3154.

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