Prove ${e}^{x}$, $x\in\mathbb{Z}$ is irrational
56464
Proving the irrationality of $e^n$
37915
$\sqrt{2}$ is irrational proof using well-Ordering Property
142000
Prove that there is an irrational number and a rational number between any two distinct real numbers
55077
prove that $2\sqrt5 +\sqrt{11}$ is irrational
13550
For an irrational number $\alpha$, prove that the set $\{a+b\alpha: a,b\in \mathbb{Z}\}$ is dense in $\mathbb R$
30622
Proving $\sqrt 3$ is irrational.
111898
Is $\{ (e^{2\pi i a n},e^{2\pi i b n }) : n \in \mathbb{Z} \}$ dense in the torus, where $a,b$ irrationals such that $a/b$ irrational?
50555
Approximation of real number to the power of irrational
158730
Is $\ln(\ln(n))$ irrational for any integer $n>1$?
114793
Prove that $\sqrt{10} - \sqrt6 - \sqrt5 + \sqrt3$ is irrational
125267
Prove that $2^{1/2}$ is irrational
118374
Is there a proof that $\pi$ is an irrational number?
44440
Prove $\sqrt{2}+\sqrt[3]{5}$ is irrational
63960
proving "e" irrational using convergent series
126199
Proof of $\pi$ not being a quadratic irrational number.
132115
Verify my proof of the irrationality of $\sqrt{6}$.
150088
Prove that $\sqrt {n − 1} +\sqrt {n + 1}$ is irrational for every integer $n ≥ 1$