Show $e^x$ is irrational for rational $x \neq 0$
56464
Proving the irrationality of $e^n$
41486
If $x^n + a_{n-1}x^{n-1} + ... + a_0 = 0$ has a rational root, then such root is an integer
28347
Prove that $\sqrt 2 + \sqrt 3$ is irrational
125707
A simple proof (hopefully) for $2^x \neq 0$
101162
Square root of $2$ is irrational
48035
Prove that square root of 2 is irrational using the principle of Mathematical Induction
87596
Is $\sum_{p}\frac{1}{p^{2}}$ irrational?
88429
Prove $\sqrt{2} + \sqrt{5}$ is irrational
39270
Showing that $e^x > 1+x$
19676
Is it known whether ${\sqrt{2}}^{\sqrt{2}}$ is irrational?
140949
Proving that for each prime number $p$, the number $\sqrt{p}$ is irrational
125267
Prove that $2^{1/2}$ is irrational
126074
Proof of the irrationality of $\sqrt{3}$ - logic question
26109
Show that $\arctan(n)$ is irrational for all $n \in \mathbb{N}$
143733
Is this proof that $\sqrt 2$ is irrational correct?
88690
$\int_a^b f(x)\mathrm dx=0$ for all $-\infty<a<b<\infty$ a,b rational implies $f=0$ a.e
30478
How to prove that a number is irrational