For $\alpha = \sqrt{2+\sqrt{2}}$, what is ${\rm Gal}(\mathbb{Q}(\alpha)/\mathbb{Q}$?
95459
$\mathbb{Q}(\sqrt{2+\sqrt{2}})$ is Galois over $\mathbb{Q}$?
95602
Computing the Galois group of $x^4+ax^2+b \in \mathbb{Q}[x] $
111291
Galois group of $\mathbb Q(\sqrt{4+\sqrt 7})/\mathbb Q$
79679
Let $\alpha, \beta \in \mathbb{C}$, such that $\alpha + \beta$, and $\alpha\beta$ are algebraic. Show that $\alpha$ and $\beta$ are algebraic.
53014
Solve $(\alpha,\beta)$ for $\lim_{n\to\infty} \frac{\sqrt[n^2]{1!2!\cdots n!}}{n^\alpha} = \beta$
42213
Computing $\text{Gal}(\mathbb{Q}^{ab}/\mathbb{Q})$
78561
Algebraic field extensions: Why $k(\alpha)=k[\alpha]$.
142470
$\mathbb{Q}(\sqrt{p},\sqrt[3]{q})= \mathbb{Q}(\sqrt{p}\cdot \sqrt[3]{q})$ ??
129443
$f(\theta) = \cos \theta - \sqrt{3}\sin \theta$ in the form $r\sin(\theta-\alpha)$
145140
Subfield of $\mathbb{Q}(\sqrt[n]{a})$
6984
Inverting $a+b\sqrt{2}$ in the field $\Bbb Q(\sqrt{2})$
148074
Analytic expression for the primitive of square root of a quadratic
11564
$\mathbb{Q}(\sqrt{p},\sqrt[3]{q})=\mathbb{Q}(\sqrt{p}\sqrt[3]{q})$ for distinct prime $p,q$
98256
Subfields of $\mathbb{Q}(\sqrt{2},\sqrt{3})$
84017
Is $\sqrt[3]{2}$ contained in $\mathbb{Q}(\zeta_n)$?
73713
Prove that $\mathbb{Q}(\sqrt{(2+\sqrt{2})(3+\sqrt{3})})$ is Galois over $\mathbb{Q}$ is Galois and determine the Galois group
19525
Showing field extension $\mathbb{Q}(\sqrt{2}, \sqrt{3}, \sqrt{5})/\mathbb{Q}$ degree 8