If $r \ne 0$ is rational and $i$ is irrational, then $ri$ is irrational
32848
Prove that the product of a non-zero rational and irrational number is irrational.
88429
Prove $\sqrt{2} + \sqrt{5}$ is irrational
42444
Irrationality of $\sum_{p\in\mathbb{P}} \frac{1}{2^{p}}$
44440
Prove $\sqrt{2}+\sqrt[3]{5}$ is irrational
129433
$\sqrt{m_1}+\sqrt{m_2}+ \cdots + \sqrt{m_n}$ is Irrational
13162
Prove $\alpha \in R[[x]]$ is a unit iff $a_0 \in R$ is a unit
151876
Is irrational times rational always irrational?
18360
Proof that the irrational numbers are uncountable
111094
Help with proving that $\pi$ is irrational
40009
Show that $e^{\sqrt 2}$ is irrational
68456
Prove that there exists irrational numbers $x$ and $y$ such that $x + y$ is rational, without using subtraction
104548
Geometric proof for irrationality of $\pi$
87735
Prove that the roots $\in \Bbb R$ of $x^3+x+1=0$ aren't rational without RRT
101162
Square root of $2$ is irrational
35837
How to prove that any (integer)$^{1/n}$ that isn't an integer, is irrational?
34710
Cardinality of Irrational Numbers
67031
use contradiction to prove that the square root of $p$ is irrational