Find an irrational number $n$ such that $n^n$ is a rational number.
69264
Is there an irrational number $a$ such that $a^a$ is rational?
13592
How can $\pi$ be irrational if it can be calculated using an infinite series of rational numbers?
5287
Representing every positive rational number in the form of $(a^n+b^n)/(c^n+d^n)$
158730
Is $\ln(\ln(n))$ irrational for any integer $n>1$?
125267
Prove that $2^{1/2}$ is irrational
67031
use contradiction to prove that the square root of $p$ is irrational
96647
Number theory: Problem involving rational numbers
131634
Prove the irrationality of $0.235711131719...$
19676
Is it known whether ${\sqrt{2}}^{\sqrt{2}}$ is irrational?
158066
Prove $2^{1/3}$ is irrational.
99311
Prove $2^{1/3} + 2^{2/3}$ is irrational
22800
Can $\sqrt{n} + \sqrt{m}$ be rational if neither $n,m$ are perfect squares?
84558
Prove that the square root of a positive integer is either an integer or irrational
77129
Density of irrationals
151325
(How to/Can I) show irrational numbers?
100973
Check if this proof about real numbers with an irrational product is correct.
1383
How to prove: if $a,b \in \mathbb N$, then $a^{1/b}$ is an integer or an irrational number?