a. Prove that if ab is an irrational number then at least one of a and b
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a. Prove that if ab is an irrational number then at least one of a and b is an irrational number.
b. Prove that if a + b is an irrational number then at least one of a and b is an irrational number.
c. A student makes the following statement: If a + b is a rational number then at least one of a and b is a rational number. Show by means of a counterexample that this statement is not true.
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a Assumption if ab is an irrational number then neither a nor b is i...View the full answer
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Related Book For 
Pearson Edexcel A Level Mathematics Pure Mathematics Year 2
ISBN: 9781292183404
1st Edition
Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran
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