proving $ \sqrt 2 + \sqrt 3 $ is irrational
22800
Can $\sqrt{n} + \sqrt{m}$ be rational if neither $n,m$ are perfect squares?
2926
The contradiction method used to prove that the square root of a prime is irrational
127830
proof that $\sqrt(2)$ is irrational / why is the fraction irreducible
59391
$p,q,r$ primes, $\sqrt{p}+\sqrt{q}+\sqrt{r}$ is irrational.
111094
Help with proving that $\pi$ is irrational
7201
Prove that $x_1^2+x_2^2+x_3^2=1$ yields $ \sum_{i=1}^{3}\frac{x_i}{1+x_i^2} \le \frac{3\sqrt{3}}{4} $
133164
Rational solutions for $x^2+y^2=3$
32848
Prove that the product of a non-zero rational and irrational number is irrational.
26109
Show that $\arctan(n)$ is irrational for all $n \in \mathbb{N}$
139755
Prove that $\sqrt{2}+\sqrt{3}+\sqrt{5}$ is irrational. Generalise this.
103496
Show that $3p^2=q^2$ implies $3|p$ and $3|q$
109175
Why is it hard to prove whether $\pi+e$ is an irrational number?
19676
Is it known whether ${\sqrt{2}}^{\sqrt{2}}$ is irrational?
44440
Prove $\sqrt{2}+\sqrt[3]{5}$ is irrational
67031
use contradiction to prove that the square root of $p$ is irrational
130439
Finding square roots of $\sqrt 3 +3i$
132115
Verify my proof of the irrationality of $\sqrt{6}$.