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  • 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 repeats
  • Hence, 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.

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10y ago
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Q: Prove that Pi is an irrational number?
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