How would you prove √√2 is irrational? direct proof proof by contradiction, assume it is rational and find a contradiction O proof by contrapositive, prove if it is irrational it is √2 proof by counter example, find a square root that is rational

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter1: Prerequisites
Section1.1: Real Numbers: Algebra Essentials
Problem 64SE: Determine whether the statement is true or false: The product of a rational and irrational number is...
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How would you prove √2 is irrational?
direct proof
proof by contradiction, assume it is rational and find a contradiction
O proof by contrapositive, prove if it is irrational it is √2
proof by counter example, find a square root that is rational
Transcribed Image Text:How would you prove √2 is irrational? direct proof proof by contradiction, assume it is rational and find a contradiction O proof by contrapositive, prove if it is irrational it is √2 proof by counter example, find a square root that is rational
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