Two examples of “proof” using Algebra (Not Geometry)

In high school, you almost never see a “real” proof.  You only see those Statement/Reason proofs in Geometry.  These types of proofs never really show you what real math proofs are really like.  So, here are 2 for you:

Prove that \(\sqrt{2}\) is irrational

A Geometry proof using Algebra

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