Giorno: 9 Settembre 2021
On the irrationality of the square root of 2
The following proof was discovered by Tom M. Apostol, and was published as “Irrationality of the Square Root of Two – A Geometric Proof” in the American Mathematical Monthly, November 2000, pp. 841–842. In short, if were rational, we could construct an isosceles right triangle with integer sides. Given one such triangle, it is possible…
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