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Quadratic Surds

John W. Dawson
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John W. Dawson: Penn State York

Chapter Chapter 4 in Why Prove it Again?, 2015, pp 19-23 from Springer

Abstract: Abstract This chapter provides an example of how an alternative proof may be used to provide a rational reconstruction of a historical practice. It concerns the following well-known Theorem: n $$\sqrt{n}$$ is rational if and only if it is integral, that is, if and only if n is a perfect square.

Keywords: Quadratic Surd; Perfect Square; Rational Reconstruction; Historical Practice; Theodorus (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-17368-9_4

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DOI: 10.1007/978-3-319-17368-9_4

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