irrationality of $\sqrt{2}$ with ring theory
75204
Irrationality $\sqrt{2}$ with ideal
34424
Determining ring of integers for $\mathbb{Q}[\sqrt{17}]$
86988
Cardinality of the Irrationals
114793
Prove that $\sqrt{10} - \sqrt6 - \sqrt5 + \sqrt3$ is irrational
89716
Is there a proof of the irrationality of $\sqrt{2}$ that involves modular arithmetic?
143733
Is this proof that $\sqrt 2$ is irrational correct?
84017
Is $\sqrt[3]{2}$ contained in $\mathbb{Q}(\zeta_n)$?
63478
Is $\mathbb{Q}(\sqrt{2}) \cong \mathbb{Q}(\sqrt{3})$?
8087
Algebraic integers of $\mathbb{Q}(\sqrt{m})$ for $m$ a squarefree integer
4946
Non-existence of irrational numbers?
78287
Prove that if $n$ is not the square of a natural number, then $\sqrt{n}$ is irrational.
24351
The ring $\Bbb Z\left [\frac{-1+\sqrt{-19}}{2}\right ]$ is not a Euclidean domain
1190
Square Root of Rational Number $\frac{A}{B}$
53331
$\mathbb{Q}(\sqrt2, \sqrt3)$ is not isomorphic to $\mathbb{Q}(\sqrt[4]2)$
158066
Prove $2^{1/3}$ is irrational.
131634
Prove the irrationality of $0.235711131719...$
86807
The units of $\mathbb Z[\sqrt{2}]$