In the 18th century, Johann Heinrich Lambert was the first to prove that pi is an irrational number. However, his proof requires some pretty heavy-duty mathematics. In the 19th century Charles Hermite found a proof which is simpler but still requires requires knowledge of fairly advanced calculus. If you are up to it, then see //en.wikipedia.org/wiki/Proof_that_π_is_irrational#Hermite.27s_proof
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Yes every irrational and rational number is a real number.
No 22*pi is not a rational number
Any multiple of or addition to or subtraction from PI is an irrational number. PI divided by PI is 1, a rational number. So is PI times 0 = 0
No 22*pi is not a rational number
Yes. For example, if you take any truncated equivalent of pi then it will be rational.