Gaussian iteration of mean values and the existence of 2^(1/2)

Daróczy, Zoltán2024-09-042024-09-042003-06-01Teaching Mathematics and Computer Science, Vol. 1 No. 1 (2003) , 35-421589-7389https://hdl.handle.net/2437/379493We propose a method for proving the existence of √2 and finding its approximate value in secondary education.application/pdfrational numbersirrational numbersnumber linecontinuity axiomGaussian iterationinequalities for meansapproximate value of 2^(1/2)Gaussian iteration of mean values and the existence of 2^(1/2)folyóiratcikkOpen AccessZoltán Daróczyhttps://doi.org/10.5485/TMCS.2003.0009Teaching Mathematics and Computer Science11Teach. Math. Comp. Sci.2676-8364