Unformatted text preview: q 2 , then 3 divides q . (Do not use unique factorization of integers into prime powers.) Hint: If 3 does not divide q , then q = 3 k + r , with r = 1 or r = 2. (b) Prove that there is no rational number r for which r 2 = 3. Problem Set 2. Due Friday, October 7. Rudin, Chapter 2, pp 43: #2, #3, #5, #6, #7, #8, #9(a,b,c) 1...
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 Fall '08
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 Sets, Prime number, Rational number, 3k

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