Is the extension $\mathbb{Q} \left( \sqrt{2}, \sqrt{3}, \sqrt{5} \right)$ simple?
35216
Prove $\mathbb{Q}(\sqrt{2},\sqrt{3},\sqrt{5}):\mathbb{Q}$ is a simple extension
105325
Expansion of $(1+px+qx^2)^8\equiv 1+8x+52x^2+kx^3$...
127198
What is $\mathbb{C}^{Aut(\mathbb{C}/\mathbb{Q})}$?
82262
minimal polynomial of nth root of 2 over $\mathbb Q$
87682
Show that $\sqrt{2}\notin \mathbb{Q}(\sqrt[4]{3})$
63478
Is $\mathbb{Q}(\sqrt{2}) \cong \mathbb{Q}(\sqrt{3})$?
77403
Finding the minimal polynomial of $\sqrt 2 + \sqrt[3] 2$ over $\mathbb Q$.
55779
How to prove: $\left(\frac{2}{\sqrt{4-3\sqrt[4]{5}+2\sqrt[4]{25}-\sqrt[4]{125}}}-1\right)^{4}=5$?
153444
$\mathbb{Q}(\sqrt[3]{2})$ is not in any cyclotomic extension of $\mathbb{Q}$
92517
Easy way to show that $\mathbb{Z}[\sqrt[3]{2}]$ is the ring of integers of $\mathbb{Q}[\sqrt[3]{2}]$
115976
$\mathbf{Q}[\sqrt 5+\sqrt[3] 2]=\mathbf{Q}[\sqrt 5,\sqrt[3] 2]$?
103817
Find splitting field of $x^5-4x+2$ over $\mathbb{Q}$
114506
Expansion of $(1+\sqrt{2})^n$
41050
Degree of the splitting field of $ x^3-5 $ over $\mathbb{Q}$
27021
Show that $Q[\sqrt3]$ is a field
6984
Inverting $a+b\sqrt{2}$ in the field $\Bbb Q(\sqrt{2})$
44440
Prove $\sqrt{2}+\sqrt[3]{5}$ is irrational