Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN: 9781133382119
Author: Swokowski
Publisher: Cengage
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Question

why the know-show table below is not valid: I know something is wrong in the step p2-p5 but I don't know how to explain it. Can you explain why please.

Step Know |P n2 is an even integer P1 (3kZ)(n² = 2k) Reason Hypothesis Definition of "even P2 √n ² = √√2k P3 n = √√2k P4 Let k = 2q² P5 n = 2k = √√2(29²) = = Q1 |(3q € Z)(n = 2g) Q n is an even integer integer" Algebra Algebra See problem 5 (a) 4q² = 2q See problem 5 (b) See problem 5 (c) Definition of "even integer"
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Transcribed Image Text:Step Know |P n2 is an even integer P1 (3kZ)(n² = 2k) Reason Hypothesis Definition of "even P2 √n ² = √√2k P3 n = √√2k P4 Let k = 2q² P5 n = 2k = √√2(29²) = = Q1 |(3q € Z)(n = 2g) Q n is an even integer integer" Algebra Algebra See problem 5 (a) 4q² = 2q See problem 5 (b) See problem 5 (c) Definition of "even integer"
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Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
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