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• Number theory vs. Hungarian highschool textbooks: √2 is irrational

  139-152

  Petra Csányi

  Kata Fábián

  Csaba Szabó

  Zsanett Szabó

  Éva Vásárhelyi

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  131

  According to the Hungarian National Curriculum the proof of the irrationality of √2 is considered in grade 10. We analyze the standard proofs from the textbooks and give some mathematical arguments that those reasonings are neither appropriate nor sufficient. We suggest that the proof should involve the fundamental theorem of arithmetic.