Intermediate subfields of $\mathbb{Q}(\sqrt[4]{2}, i)/\mathbb{Q}$
51021
Find all the intermediate fields of the splitting field of $x^4 - 2$ over $\mathbb{Q}$
35216
Prove $\mathbb{Q}(\sqrt{2},\sqrt{3},\sqrt{5}):\mathbb{Q}$ is a simple extension
63280
Show that the set $\mathbb{Q}[\sqrt{2}] = \{a + b \sqrt{2} \mid a, b \in \mathbb{Q}\}$ is a field with the usual multiplication and addition.
150170
Subrings of fraction fields
120943
Galois field extension and number of intermediate fields
111291
Galois group of $\mathbb Q(\sqrt{4+\sqrt 7})/\mathbb Q$
134840
Generators and relations for $\text{PSL}(2, \mathbb{F}_q)$
37219
Quadratic Integers in $\mathbb Q[\sqrt{-5}]$
28313
Intermediate ring between a field and an algebraic extension.
86807
The units of $\mathbb Z[\sqrt{2}]$
104300
Help justifying that $\mathbb Q(\sqrt[3]{2})$ is not a splitting field over $\mathbb Q$.
58009
How to show that $\mathbb Q(\sqrt 2)$ is not field isomorphic to $\mathbb Q(\sqrt 3).$
103654
A finite field extension that is not simple
19511
Is the sub-field of algebraic elements of a field extension of $K$ containing roots of polynomials over $K$ algebraically closed?
6827
To identify field $Z[i]/(3)$
98803
Square roots of integers and cyclotomic fields
46565
Show that $\mathbb{Q}(\sqrt{2})$ is a field.