Csányi, PetraFábián, KataSzabó, CsabaSzabó, ZsanettVásárhelyi, Éva2024-09-042024-09-042016-12-01Teaching Mathematics and Computer Science, Vol. 14 No. 2 (2016) , 139-1521589-7389https://hdl.handle.net/2437/379801According 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.application/pdfproofkey stepsanalogyproof-theoryNumber theory vs. Hungarian highschool textbooksfolyóiratcikkOpen AccessPetra Csányi, Kata Fábián, Csaba Szabó, Zsanett Szabó and Éva Vásárhelyihttps://doi.org/10.5485/TMCS.2016.0416Teaching Mathematics and Computer Science214Teach. Math. Comp. Sci.2676-8364