One way to prove that 2 is an irrational number is to

Chapter 4, Problem 4.260

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One way to prove that 2 is an irrational number is to assume that2=a/b for some integers a and b that have no common factor greater than 1, use the lemma that saysthat if the square of an integer is even then _____, and eventually show that a and b _____.

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