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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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Earn +20 ptsQ: Prove that Pi is an irrational number?
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Continue Learning about Math & Arithmetic
Is pi a recurring decimal a terminating decimal or an irrational number?
Pi is an irrational number
Why is PI a rational or irrational number?
pi is an irrational number. It is irrational because it cannot be expressed as a ratio of two integers.
Is the square of pi a rational or irrational nuymber?
The square of pi is an irrational number.
Can you multiply an irrational number times an irrational number and get a rational number?
Well, (pi) x (1/pi) = 1 .
What is an example of irrational?
pi is an example of an irrational number.
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