Three Proofs that the Square Root of 2 Is Irrational

01/02/2021

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This short article gives three proofs that √ 2 is irrational. The article is written in an expository tutorial format and the background information is provided in brief. The first proof is a simple proof by contradiction and the second and third proofs use field theory from abstract algebra. All three topics are developed and explained. For more details, please refer to this course at Clemson University.