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OpenStudy (anonymous):

Is the square root of 5 a rational or irrational number?

OpenStudy (anonymous):

This irrationality proof for the square root of 5 uses Fermat's method of infinite descent: Suppose that √5 is rational, and express it in lowest possible terms (i.e., as a fully reduced fraction) as for natural numbers m and n. Then √5 can be expressed in lower terms as , which is a contradiction.

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