Is the field $\mathbb{Q}(3^{1/3},3^{1/4})$ a Galois extension of $\mathbb{Q}$?
56420
Is $\mathbb{Q}(\sqrt[3]{3}, \sqrt[4]{3})$ a Galois extension of $\mathbb{Q}$
622
Galois Group of $\sqrt{2+\sqrt{2}}$ over $\mathbb{Q}$
148671
Trying to factor $x^4-3$ over $\Bbb{F}_p$ with $p\equiv 3\mod{4}$
78696
Galois group of the product of two fields being the product of Galois groups?
116628
Example of Galois extension whose Galois group is $A_4$
4996
Proving $Gal(K/\mathbb{Q})$ is $D_4$.
119305
Is the splitting field equal to the quotient $k[x]/(f(x))$ for finite fields?
143219
If a field $F$ is an algebraic extension of a field $K$ then $(F:K)=(F(x):K(x))$
9129
Show that $\mathbb{Q}(\zeta_n)$ is Galois over $\mathbb{Q}$ and $Gal(\mathbb{Q}(\zeta_n)/\mathbb{Q}))\cong \mathbb{Z_n}^*$
20218
Is this field extension finite?
24919
$\mathbb{Q}(\zeta_{10}) $ degree of field extension over $\mathbb{Q}$
82328
Constructing a Galois extension field with Galois group $S_n$
53331
$\mathbb{Q}(\sqrt2, \sqrt3)$ is not isomorphic to $\mathbb{Q}(\sqrt[4]2)$
83595
Proving that $\mathbb{A}=\{\alpha \in \mathbb{C}: \alpha \text{ is algebraic over } \mathbb{Q} \}$ is not a finite extension
27021
Show that $Q[\sqrt3]$ is a field
51021
Find all the intermediate fields of the splitting field of $x^4 - 2$ over $\mathbb{Q}$
19525
Showing field extension $\mathbb{Q}(\sqrt{2}, \sqrt{3}, \sqrt{5})/\mathbb{Q}$ degree 8