Two Motivated Concrete Proofs (much better than the usual one) that the Square-Root of 2 is Irrational

TL;DR

This paper presents two novel and motivated proofs demonstrating the irrationality of the square root of 2, offering clearer insights compared to traditional proofs.

Contribution

It introduces two new, motivated proofs of the irrationality of √2, enhancing understanding beyond classical approaches.

Findings

Two new proofs of √2's irrationality

Proofs are more motivated and accessible

Contributes educational value to mathematical proofs

Abstract

This short "education note" was inspired by Zvi Artstein's masterpiece Mathematics and the Real World, the Remarkable Role of Evolution in the Making of Mathematics (p. 53, and p. 400)