An Irrationally Radical Idea

Mother nature has been working to get southern California’s rainfall back up to average, and I’ve been working overtime to deal with it.  Consequently, I’m tired.  Jan made a squirrel, and I’ve dusted off an old favorite proof.

Irrationality of Non-Square Radicals

I was first introduced to this line of reasoning as a proof that is irrational.  However, the concept is easily generalized to all non-square radicals.  The proof follows the same reductio ad absurdum model, with the added assumption that . Continue reading