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Unformatted text preview: A3. (a) Let q be an integer. Prove that if 3 divides 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. 1...
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This note was uploaded on 09/30/2011 for the course MATH 140a taught by Professor Staff during the Fall '08 term at UCSD.
- Fall '08