Irrationality of $\sqrt[n]2$
32
Is $n^{th}$ root of $2$ an irrational number?
147777
If $P$ and $Q$ are distinct primes, how to prove that $\sqrt{PQ}$ is irrational?
59391
$p,q,r$ primes, $\sqrt{p}+\sqrt{q}+\sqrt{r}$ is irrational.
4946
Non-existence of irrational numbers?
48975
Transcendental numbers and irrationality measure
127102
Upper bound for $\sqrt[n]{n!}$
144244
Bound on difference between irrational square root and rational number
26394
Is the sum and difference of two irrationals always irrational?
48035
Prove that square root of 2 is irrational using the principle of Mathematical Induction
42292
Show that $a_n<\sqrt{2}$ for every $n\in\mathbb{N}$.
40009
Show that $e^{\sqrt 2}$ is irrational
23752
Proving Irrationality
151439
$\sqrt{1-x^2}$ is not a rational function
42444
Irrationality of $\sum_{p\in\mathbb{P}} \frac{1}{2^{p}}$
6275
How can you prove that the square root of two is irrational?
106242
Why no common factors in proving root 2 is irrational?
58284
How to prove that $\sqrt[3] 2 + \sqrt[3] 4$ is irrational?