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The first proof of the irrationality of Pi was done by J.H. Lambert in 1768
the number is that you use for pi is 3.14 the number is that you use for pi is 3.14
Ferdinand Lindemann.
Ferdinand von Lindemann.
Every rational number has a decimal expansion that either terminates (like 42.23517) or repeats (like 26.1447676767676...)Pi's decimal expansion neither terminates nor repeatsHence, Pi cannot be rational.If we could prove the first two statements, this would constitute a proof that Pi is irrational, but most people cannot provide proof of either. Most proofs on this issue are quite technical, but I'm hoping to return to this question with a suitable answer soon.