A purely geometric proof that pi is irrational?
104548
Geometric proof for irrationality of $\pi$
65895
Irrationality proofs not by contradiction
37995
What is the most elegant proof of the Pythagorean theorem?
117366
Is there a simple, constructive, 1-1 mapping between the reals and the irrationals?
122226
Incorrect logic in popular proof of the irrationality of $\sqrt2$?
34710
Cardinality of Irrational Numbers
109175
Why is it hard to prove whether $\pi+e$ is an irrational number?
32848
Prove that the product of a non-zero rational and irrational number is irrational.
143733
Is this proof that $\sqrt 2$ is irrational correct?
59391
$p,q,r$ primes, $\sqrt{p}+\sqrt{q}+\sqrt{r}$ is irrational.
31744
Proving that there is an irrational number between any two unequal rational numbers.
41191
How to prove this $\pi$ formula?
19676
Is it known whether ${\sqrt{2}}^{\sqrt{2}}$ is irrational?
85311
Proving that $e^{\pi}-{\pi}^e\lt 1$ without using a calculator
109953
How to prove that $\sqrt 3$ is an irrational number?
131634
Prove the irrationality of $0.235711131719...$
138446
Proving that there exists an irrational number in between any given real numbers