Splitting field for $x^4-2\in\mathbb{Q}[x]$.
114295
Find all the middle fields of the splitting field of $x^4-2$ over $\mathbb{Q}$
108914
Splitting field of $x^n-a$ contains all $n$ roots of unity
36034
Degree of splitting field less than n!
137610
Finding the field of fractions of a quotient of a polynomial ring.
87467
Finding some missing subfields of a splitting field of $x^4-7$
143107
Why is $X^4 + \overline{2}$ irreducible in $\mathbb{F}_{125}[X]$?
93196
$x^4 -10x^2 +1 $ is irreducible over $\mathbb Q$
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
150170
Subrings of fraction fields
112427
Irreducibility of $p(x)=x^4-4x^2+8x+2$ over $\mathbb{Q}(\sqrt{-2})$- Dummit Foote Abstract algebra $9.4.10$
113216
No field properly between $\mathbb Q$ and $E$ iff $G(K/\mathbb Q) \cong A_4$ or $S_4$
99516
Show $\mathbb{Q}[\sqrt[3]{2}]$ is a field by rationalizing
62183
Find the quotient field of $\mathbb{Z}[\sqrt {2}]$
38364
Showing that $x^n -2$ is irreducible in $\mathbb{Q}[X]$
10548
The equation $-1 = x^2 + y^2$ in finite fields
26069
Why is $X^4-16X^2+4$ irreducible in $\mathbb{Q}[X]$?
88181
Splitting field of $X^n-a$