Find all sub-fields of $\mathbb{Q}(\sqrt[4]{5},i)$
87467
Finding some missing subfields of a splitting field of $x^4-7$
87682
Show that $\sqrt{2}\notin \mathbb{Q}(\sqrt[4]{3})$
117970
Find the minimal polynomial for $\sqrt[3]{2} + \sqrt[3]{4}$ over $\mathbb{Q}$
129521
Is $\sqrt[3]{5}$ in $\mathbb Q(\sqrt[3]{2})$?
73713
Prove that $\mathbb{Q}(\sqrt{(2+\sqrt{2})(3+\sqrt{3})})$ is Galois over $\mathbb{Q}$ is Galois and determine the Galois group
98577
Show that the set $\mathbb{Q}(\sqrt{p})=\{a+b\sqrt{p}; a,b,p\in\mathbb{Q},\sqrt{p}\notin \mathbb{Q}\}$ is a field
42213
Computing $\text{Gal}(\mathbb{Q}^{ab}/\mathbb{Q})$
88301
What are all of the connected subsets of $\mathbb{Q}$?
53701
Unique quadratic subfield of $\mathbb{Q}(\zeta_p)$ is $\mathbb{Q}(\sqrt{p})$ if $p \equiv 1$ $(4)$, and $\mathbb{Q}(\sqrt{-p})$ if $p \equiv 3$ $(4)$
37219
Quadratic Integers in $\mathbb Q[\sqrt{-5}]$
76685
Determine $\text{Aut}(S)$ where $S = \mathbb{Q}[x]/(x^2)$
120940
An irreducible polynomial in a subfield of $\mathbb{C}$ has no multiple roots in $\mathbb{C}$
4105
Irreducible but not prime in $\mathbb{Z}[\sqrt{-5}] $
115976
$\mathbf{Q}[\sqrt 5+\sqrt[3] 2]=\mathbf{Q}[\sqrt 5,\sqrt[3] 2]$?
73412
Splitting field of $x^6+x^3+1$ over $\mathbb{Q}$
54267
Field of fractions of $\mathbb{Q}[x,y]/\langle x^2+y^2-1\rangle$
114295
Find all the middle fields of the splitting field of $x^4-2$ over $\mathbb{Q}$