Class number of $\mathbb{Q}(\sqrt{-23})$
133378
Ideal class group of $\mathbb{Q} ( \sqrt{-23} ) $ is $\cong \mathbb{Z}/3$ by Minkowski bound.
35216
Prove $\mathbb{Q}(\sqrt{2},\sqrt{3},\sqrt{5}):\mathbb{Q}$ is a simple extension
62183
Find the quotient field of $\mathbb{Z}[\sqrt {2}]$
83910
Integer part of $\sqrt[3]{24+\sqrt[3]{24+\sqrt[3]{24+\cdots}}}$
42213
Computing $\text{Gal}(\mathbb{Q}^{ab}/\mathbb{Q})$
103763
Minimal polynomial of $\sqrt{2}+\sqrt{3}$ over $\mathbb Q$
134885
proving that $\mathbb{Q}(\sqrt{5}, \sqrt{6}) = \mathbb{Q}(\sqrt{5}+ \sqrt{6}) $
80551
Find Units in $\mathbb{Z}[\sqrt{n}]$
622
Galois Group of $\sqrt{2+\sqrt{2}}$ over $\mathbb{Q}$
38489
Degree of the extension $\mathbb{Q}(\sqrt{a+\sqrt{b}})$ over $\mathbb{Q}$
39642
Efficient way to find $[\mathbb{Q}(\sqrt{5}, \sqrt{3}, \sqrt{2}): \mathbb{Q}(\sqrt{3}, \sqrt{2})]$
37219
Quadratic Integers in $\mathbb Q[\sqrt{-5}]$
89415
Number of homomorphisms from $(\mathbb Q^+ , \,\cdot\,)$ to $(\mathbb Z_n , +)$
93703
Groups of units of $\mathbb{Z}\left[\frac{1+\sqrt{-3}}{2}\right]$
108550
Elements of $\mathbb Q(2^{1/3})$
50172
Show that $\mathbb{Q}(\sqrt{2})$ is the smallest subfield of $\mathbb{C}$ that contains $\sqrt{2}$
19884
The units of $\mathbb Z_4[x]$