The quadratic fields are of the form $\Bbb Q(\sqrt d) $
31436
Show that for all $a\in\mathbb{N}$, there exists $b\in\mathbb{N}$ and square-free integer $c$ such that $\sqrt{a}=b\sqrt{c}$.
58416
Valuations on $\Bbb Q(t)$
90276
Is $\sqrt{2}\in{\Bbb Z}[\sqrt{2}+\sqrt{3}]$ true?
86807
The units of $\mathbb Z[\sqrt{2}]$
103854
Showing that $Q_n=D_n+D_{n-1}$
63478
Is $\mathbb{Q}(\sqrt{2}) \cong \mathbb{Q}(\sqrt{3})$?
98256
Subfields of $\mathbb{Q}(\sqrt{2},\sqrt{3})$
125647
Solutions to the matrix equation $\mathbf{AB-BA=I}$ over general fields
130826
Computing class group of $\mathbb Q(\sqrt{6})$
43300
The degree of $\sqrt{2} + \sqrt[3]{5}$ over $\mathbb Q$
37219
Quadratic Integers in $\mathbb Q[\sqrt{-5}]$
10111
Prove or disprove that Q[√2] is a field
76017
Prove that $x^3-2$ and $x^3-3$ are irreducible over $\Bbb{Q}(i)$
108550
Elements of $\mathbb Q(2^{1/3})$
127764
Showing that $\mathbb{Q}[\sqrt{2}, \sqrt{3}]$ contains multiplicative inverses
56928
$\dfrac{pq}{r}+\dfrac{qr}{p}+\dfrac{pr}{q}\in\Bbb Z\,\Rightarrow\, \dfrac{pq}{r},\dfrac{qr}{p},\dfrac{pr}{q}\in\Bbb Z$
42384
Сanonical form of a quadratic form by Lagrange's method