Prove that $\sqrt{2} + \sqrt[3]{3}$ is irrational
124641
Prove that $5^{1/3}+7^{1/2}$ is irrational
127830
proof that $\sqrt(2)$ is irrational / why is the fraction irreducible
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} $
96204
Irrational number $\sqrt2$ proof
56802
Why $\sqrt[3]{{2 + \sqrt 5 }} + \sqrt[3]{{2 - \sqrt 5 }}$ is a rational number?
128298
Irrationality of sum of two logarithms: $\log_2 5 +\log_3 5$
92226
Prove $\sqrt6$ is irrational
109953
How to prove that $\sqrt 3$ is an irrational number?
89716
Is there a proof of the irrationality of $\sqrt{2}$ that involves modular arithmetic?
55077
prove that $2\sqrt5 +\sqrt{11}$ is irrational
26109
Show that $\arctan(n)$ is irrational for all $n \in \mathbb{N}$
37915
$\sqrt{2}$ is irrational proof using well-Ordering Property
11564
$\mathbb{Q}(\sqrt{p},\sqrt[3]{q})=\mathbb{Q}(\sqrt{p}\sqrt[3]{q})$ for distinct prime $p,q$
58284
How to prove that $\sqrt[3] 2 + \sqrt[3] 4$ is irrational?
132115
Verify my proof of the irrationality of $\sqrt{6}$.
44440
Prove $\sqrt{2}+\sqrt[3]{5}$ is irrational
126199
Proof of $\pi$ not being a quadratic irrational number.