Irrationality $\sqrt{2}$ with ideal
103496
Show that $3p^2=q^2$ implies $3|p$ and $3|q$
138341
How do you square an ideal?
19676
Is it known whether ${\sqrt{2}}^{\sqrt{2}}$ is irrational?
20315
$\sqrt[31]{12} +\sqrt[12]{31}$ is irrational
23099
Verifying that the ideal $(x^3-y^2)$ is prime
143733
Is this proof that $\sqrt 2$ is irrational correct?
43985
Why must $a$ and $b$ both be coprime when proving that the square root of two is irrational?
69373
Prove that $(0)$ is a radical ideal in $\mathbb{Z}/n\mathbb{Z}$ iff $n$ is square free
122104
Ideal products and calculating with ideals
127830
proof that $\sqrt(2)$ is irrational / why is the fraction irreducible
42842
Proof for $\epsilon$ closeness to $\sqrt{2}$ for all values of $\epsilon$
125267
Prove that $2^{1/2}$ is irrational
22408
Jutifying: irrational + rational = irrational
30478
How to prove that a number is irrational
67031
use contradiction to prove that the square root of $p$ is irrational
86807
The units of $\mathbb Z[\sqrt{2}]$
50555
Approximation of real number to the power of irrational