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Characterization of Pythagorean Triples in the Root 2 Field Extension of the Rational Numbers

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dc.contributor.author Brooke M Hatanaka
dc.date.accessioned 2018-01-24T21:18:26Z
dc.date.available 2018-01-24T21:18:26Z
dc.date.issued 10/11/2017
dc.identifier.uri http://hdl.handle.net/20.500.12088/8078
dc.description.abstract In high school, every geometry student learns the Pythagorean Theorem, which states that a triangle ABC with sides a, b, and c is a right triangle if and only if a^2 + b^2 = c^2. A Pythagorean triple is a triple of three positive integers (a, b, c) that satisfies the Pythagorean Theorem and all Pythagorean triples can be both generated and characterized with one formula. In this talk, we will characterize Pythagorean triples in the root 2 field extension of the rational numbers and compare those triples with Pythagorean triples in the integers.
dc.description.sponsorship Vincent Ferlini
dc.language.iso en_US
dc.publisher Keene State College
dc.subject Mathematics
dc.title Characterization of Pythagorean Triples in the Root 2 Field Extension of the Rational Numbers
dc.type Presentation


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