Show $2 = (2, 1+\sqrt{-5})^2$ in $\mathbb{Z}[\sqrt{-5}]$
138341
How do you square an ideal?
70522
$y^2 = \frac{x^5 - 1}{x-1}$ & $x,y \in \mathbb{Z}$
130027
Give a direct proof of the fact that $a^2-5a+6$ is even for any $a \in \mathbb Z$
143689
Real $2\times 2$ matrix $X$ such that $X^2 + 2X= -5I$
96185
Solutions of $x^2+y^2+z^2 = n$ in $\mathbb{Z}_2$.
129521
Is $\sqrt[3]{5}$ in $\mathbb Q(\sqrt[3]{2})$?
4105
Irreducible but not prime in $\mathbb{Z}[\sqrt{-5}] $
156266
Solving $|x-2| + |x-5|=3$
50172
Show that $\mathbb{Q}(\sqrt{2})$ is the smallest subfield of $\mathbb{C}$ that contains $\sqrt{2}$
144765
Solving $\sqrt{x+5} = x - 1$
80551
Find Units in $\mathbb{Z}[\sqrt{n}]$
127764
Showing that $\mathbb{Q}[\sqrt{2}, \sqrt{3}]$ contains multiplicative inverses
6837
How to quotient $\mathbb Z [\sqrt{-11}] / (1+\sqrt{-11})$?
19701
Prove $5\mid2^{4n}-1$ by induction
120699
Is $\mathcal{O}_{\mathbb{Q}(\sqrt{5})} = \mathbb{Z}[\phi]$?
5043
Show that $2^n>1+n\sqrt{2^{n-1}}$
86807
The units of $\mathbb Z[\sqrt{2}]$