Seven different proofs of the irrationality of √2

Abstract Atiyah (winner of Abel prize for 2004, jointly with Isador Singer) says “Any good theorem should have several proofs, more the better. For two reasons: usually, different proofs have different strengths and weaknesses, and they generalize in different directions — they are not just repetiti...
Ausführliche Beschreibung

Abstract Atiyah (winner of Abel prize for 2004, jointly with Isador Singer) says “Any good theorem should have several proofs, more the better. For two reasons: usually, different proofs have different strengths and weaknesses, and they generalize in different directions — they are not just repetitions of each other”. Following this remark by a great mathematician, we have given in this article, seven proofs for the irrationality of square root of 2. Ausführliche Beschreibung