Irrational to the Power of Irrational
1877
Can an irrational number raised to an irrational power be rational?
18360
Proof that the irrational numbers are uncountable
32848
Prove that the product of a non-zero rational and irrational number is irrational.
86988
Cardinality of the Irrationals
11069
Deciding whether $2^{\sqrt2}$ is irrational/transcendental
15110
About irrational logarithms
20315
$\sqrt[31]{12} +\sqrt[12]{31}$ is irrational
69264
Is there an irrational number $a$ such that $a^a$ is rational?
75204
Irrationality $\sqrt{2}$ with ideal
150088
Prove that $\sqrt {n − 1} +\sqrt {n + 1}$ is irrational for every integer $n ≥ 1$
77129
Density of irrationals
111094
Help with proving that $\pi$ is irrational
104548
Geometric proof for irrationality of $\pi$
42444
Irrationality of $\sum_{p\in\mathbb{P}} \frac{1}{2^{p}}$
98666
Continuity defined for rational and irrational numbers
10008
Proof that the nth root of a rational s/t is irrational unless s and t are perfect nth powers
10882
irrationality of $\sqrt{2}^{\sqrt{2}}$.