Category Archives: irrational numbers

Proof of the Irrationality of e

In a previous post I proved that is irrational.  In this post I prove the irrationality of e. A proof of the irrationality of e must start by defining e.  There are some different ways to do that.  We’ll take e to be the unique … Continue reading

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Proving the Existence of Irrational Numbers

The ancient Greeks first proved the existence of irrational numbers by proving that is irrational.  The proof is, as modern proofs of irrationality go, fairly simple.  It is often the first example of a proof of irrationality that students see … Continue reading

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