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This worksheet guides students through proving that 7 + 4√2 is irrational using proof by contradiction, a fundamental technique in mathematical reasoning.

Worksheet 3 indirect proof by contradiction proving 7 plus 4 root 2 is irrational with fill-in-the-blank exercises

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Show Answer Key & Explanations Step-by-step solution for: Solved Worksheet 3- Indirect proof Name: 1. Proof by | Chegg.com

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(i) rational
(ii) a and b are integers, and b ≠ 0
(iii) a - 7b
(iv) (a - 7b)/(4b)
(v) it is expressed as a ratio of two integers (since a and b are integers, so are a - 7b and 4b, and 4b ≠ 0)

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