An irrational number $x$ such that $x^x$ is rational
69264
Is there an irrational number $a$ such that $a^a$ is rational?
84558
Prove that the square root of a positive integer is either an integer or irrational
87596
Is $\sum_{p}\frac{1}{p^{2}}$ irrational?
13592
How can $\pi$ be irrational if it can be calculated using an infinite series of rational numbers?
23752
Proving Irrationality
30478
How to prove that a number is irrational
77129
Density of irrationals
31744
Proving that there is an irrational number between any two unequal rational numbers.
1190
Square Root of Rational Number $\frac{A}{B}$
42444
Irrationality of $\sum_{p\in\mathbb{P}} \frac{1}{2^{p}}$
91101
Proving $\sqrt2$ is irrational
44600
How can I prove: if $p $ is prime and $n>1$, then $ p^{\frac1n} $ is irrational?
142008
Find all natural numbers $n$ such that ${(n+1)}^{1/2}-{(n-1)}^{1/2}$ is rational
18360
Proof that the irrational numbers are uncountable
68456
Prove that there exists irrational numbers $x$ and $y$ such that $x + y$ is rational, without using subtraction
50555
Approximation of real number to the power of irrational
107105
Is an irrational number odd or even?