Galois Extension and Galois Group for $Q(\sqrt{2+\sqrt{2}})$
622
Galois Group of $\sqrt{2+\sqrt{2}}$ over $\mathbb{Q}$
121707
Generating Elements of Galois Group
98256
Subfields of $\mathbb{Q}(\sqrt{2},\sqrt{3})$
50668
Show that $\mathbb{Q}(\sqrt2, \sqrt[3]2)$ is a primitive field extension of $\mathbb{Q}$.
19525
Showing field extension $\mathbb{Q}(\sqrt{2}, \sqrt{3}, \sqrt{5})/\mathbb{Q}$ degree 8
122083
Prove that $\sqrt[3]{2} +\sqrt{5}$ is algebraic over $\mathbb Q$
6984
Inverting $a+b\sqrt{2}$ in the field $\Bbb Q(\sqrt{2})$
75828
Compute Galois group of $\mathbb F_q/\mathbb F_p$
42332
Existence of multiplicative inverse in field $\mathbb{Q}(\sqrt{d})$
12524
Galois group of $x^3 - 2 $ over $\mathbb Q$
139499
The algebraic closure of a finite field and its Galois group
103654
A finite field extension that is not simple
81944
Galois representations and normal bases
145140
Subfield of $\mathbb{Q}(\sqrt[n]{a})$
147158
Galois group of a non-separable polynomial
146617
A complete picture of the lattice of subfields for a cyclotomic extension over $\mathbb{Q}$.
6824
Extensions of degree two are Galois Extensions.