Explanation Given : 2 = 1.414213562 Calculation: Suppose not, that is, suppose 2 is rational. Then there are integers m and n with no common factors such that Equation 2 2 = m 2 n 2 Or, equivalently, 2 n 2 = m 2 Note that equation 2 implies that m 2 is even. It follows that m is even. We file this fact away for future reference and also deduce that Equation 3 m = 2 k for some integer k

11th Edition

ISBN: 9781133417071

Author: EPP

Publisher: CENGAGE LEARNING - CONSIGNMENT

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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Chapter 4.6, Problem 1ES

To determine

Toexplain:The discrepancy.

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Chapter 4.5, Problem 35ES

Chapter 4.6, Problem 2ES

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Chapter 4 Solutions

EBK DISCRETE MATHEMATICS: INTRODUCTION

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