Prove that Pi is an irrational number?

Answer 1

• 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.