Carry out the details of the following proof by contradiction that 2 is irrational (this
Chapter 0, Problem 39(choose chapter or problem)
Carry out the details of the following proof by contradiction that 2 is irrational (this proof is due to R. Palais). If 2 is rational, then n 2 is a whole number for some whole number n. Let n be the smallest such whole number and let m = n 2 n. (a) Prove that m
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