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

2003-06-01

We propose a method for proving the existence of √2 and finding its approximate value in secondary education.

rational numbers, irrational numbers, number line, continuity axiom, Gaussian iteration, inequalities for means, approximate value of 2^(1/2)

Teaching Mathematics and Computer Science, Vol. 1 No. 1 (2003) , 35-42