Is an irrational to an irrational rational?
1877
Can an irrational number raised to an irrational power be rational?
62947
If $f(x)$ is equal to $x$ or $1-x$ when $x$ is rational/irrational, then $f$ is continuous only at $x=1/2$
50555
Approximation of real number to the power of irrational
138162
Do Irrationals form a group?
34825
Intuitive explanation for how could there be "more" irrational numbers than rational?
30622
Proving $\sqrt 3$ is irrational.
44600
How can I prove: if $p $ is prime and $n>1$, then $ p^{\frac1n} $ is irrational?
44476
Can we ever get an irrational number by dividing two rational numbers?
131634
Prove the irrationality of $0.235711131719...$
95787
Prove or find a counterexample: For all real numbers x and y it holds that x + y is irrational if, and only if, both x and y are irrational.
35837
How to prove that any (integer)$^{1/n}$ that isn't an integer, is irrational?
87131
Discontinuous at rationals and differentiable at irrationals?
53945
The square root of a prime number is irrational
126074
Proof of the irrationality of $\sqrt{3}$ - logic question
158730
Is $\ln(\ln(n))$ irrational for any integer $n>1$?
67605
Different proof that $\sqrt{2}$ is irrational
23752
Proving Irrationality