class number of $\mathbb{Q}(\sqrt{17})$
115282
Showing that $\mathbb Q(\sqrt{17})$ has class number 1
72144
Show that $\mathbb Q(\sqrt p) \not\simeq\mathbb Q(\sqrt q)$
35216
Prove $\mathbb{Q}(\sqrt{2},\sqrt{3},\sqrt{5}):\mathbb{Q}$ is a simple extension
150064
Cardinality of "$x-y\in\Bbb Q$"-equivalence class of $1/\sqrt2$
27021
Show that $Q[\sqrt3]$ is a field
75946
Determine the degree of the extension $\mathbb{Q}(\sqrt{3 + 2\sqrt{2}})$.
44307
Prove $\sqrt[3]{3} \notin \mathbb{Q}(\sqrt[3]{2})$
80658
Prove that the number $19\cdot8^n+17$ is not prime, $n\in\mathbb{Z}^+$
68915
What are the units in $\mathbb{Z}[\root 3 \of 2]$?
153204
Euclidean domain $\mathbb{Z}[\sqrt{d}]$
117789
Computing Galois Group of $\mathbb{Q}(\sqrt{2},\sqrt{3}):\mathbb{Q}$
122083
Prove that $\sqrt[3]{2} +\sqrt{5}$ is algebraic over $\mathbb Q$
109952
Find the minimal polynomial of $\sqrt2 + \sqrt3 $ over $\mathbb Q$
56898
Number of monomials of certain degree
36325
Embedding ordinals in $\mathbb{Q}$
25290
Determine the number of irreducible monic polynomials of degree 3 in $\mathbb F_p[x]$
120699
Is $\mathcal{O}_{\mathbb{Q}(\sqrt{5})} = \mathbb{Z}[\phi]$?