About the proof of square root of 2 is irrational
106242
Why no common factors in proving root 2 is irrational?
144244
Bound on difference between irrational square root and rational number
125267
Prove that $2^{1/2}$ is irrational
15110
About irrational logarithms
114793
Prove that $\sqrt{10} - \sqrt6 - \sqrt5 + \sqrt3$ is irrational
30478
How to prove that a number is irrational
5529
Proving that $x$ is irrational if $x-\lfloor x \rfloor + \frac1x - \left\lfloor \frac1x \right\rfloor = 1$
69575
If $ad$ and $bc$ are odd and even, respectively, then prove that $ax^3+bx^2+cx+d$ has an irrational root.
65895
Irrationality proofs not by contradiction
56464
Proving the irrationality of $e^n$
19676
Is it known whether ${\sqrt{2}}^{\sqrt{2}}$ is irrational?
20315
$\sqrt[31]{12} +\sqrt[12]{31}$ is irrational
31867
Elementary proof that the limit of $\sum_{i=1}^{\infty} \frac{1}{\operatorname{lcm}(1,2,...,i)}$ is irrational
48035
Prove that square root of 2 is irrational using the principle of Mathematical Induction
139755
Prove that $\sqrt{2}+\sqrt{3}+\sqrt{5}$ is irrational. Generalise this.
88429
Prove $\sqrt{2} + \sqrt{5}$ is irrational
59391
$p,q,r$ primes, $\sqrt{p}+\sqrt{q}+\sqrt{r}$ is irrational.