Is $2^{2^{1/2}}$ irrational?
11069
Deciding whether $2^{\sqrt2}$ is irrational/transcendental
143733
Is this proof that $\sqrt 2$ is irrational correct?
1383
How to prove: if $a,b \in \mathbb N$, then $a^{1/b}$ is an integer or an irrational number?
21237
$\sqrt{6}-\sqrt{2}-\sqrt{3}$ is irrational
158368
Irrationals: A Group?
111094
Help with proving that $\pi$ is irrational
126199
Proof of $\pi$ not being a quadratic irrational number.
129433
$\sqrt{m_1}+\sqrt{m_2}+ \cdots + \sqrt{m_n}$ is Irrational
37915
$\sqrt{2}$ is irrational proof using well-Ordering Property
40009
Show that $e^{\sqrt 2}$ is irrational
42444
Irrationality of $\sum_{p\in\mathbb{P}} \frac{1}{2^{p}}$
44400
$e^{2\pi i x} = (e^{2\pi i})^x$: What happens if x is rational?
88429
Prove $\sqrt{2} + \sqrt{5}$ is irrational
109175
Why is it hard to prove whether $\pi+e$ is an irrational number?
32
Is $n^{th}$ root of $2$ an irrational number?
142008
Find all natural numbers $n$ such that ${(n+1)}^{1/2}-{(n-1)}^{1/2}$ is rational
53945
The square root of a prime number is irrational