Using contradiction prove or disprove: For all real numbers x, (√2 + x) is irrational or (√2 − x) is irrational.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 39E
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Using contradiction prove or disprove: For all real numbers x, (√2 + x) is irrational or (√2 − x) is irrational.

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