(a) Show that if x, y are rational numbers, then x + y and xy are rational...
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(b) Prove that if x is a rational number and y is an irrational number, then x + y is an irrational number. If, in addition, x ≠ 0, then show that xy is an irrational number.
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a Let x mn y pq where m n 0 p q 0 are in...View the full answer
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Related Book For 
Introduction to Real Analysis
ISBN: 978-0471433316
4th edition
Authors: Robert G. Bartle, Donald R. Sherbert
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