Is $\sqrt[3]{5}$ in $\mathbb Q(\sqrt[3]{2})$?
48962
Show the two fields are not isomorphic
138501
Is $\mathbf{Q}(\sqrt{2},\sqrt{3}) = \mathbf{Q}(\sqrt{6})$?
75349
Minimal polynomial of $\sqrt[3]{2} + \sqrt{3}$
103148
Show Galois group of $f(t) = t^5 - 3$ over $\mathbb Q$ is solvable
109952
Find the minimal polynomial of $\sqrt2 + \sqrt3 $ over $\mathbb Q$
95459
$\mathbb{Q}(\sqrt{2+\sqrt{2}})$ is Galois over $\mathbb{Q}$?
32760
Is $\mathbf{Q}(\sqrt{2}, \sqrt{3}) = \mathbf{Q}(\sqrt{2}+\sqrt{3})$?
66364
Why is $(\sqrt{2}+\sqrt{3})^{2008}$ so close to an integer?
56420
Is $\mathbb{Q}(\sqrt[3]{3}, \sqrt[4]{3})$ a Galois extension of $\mathbb{Q}$
78351
Why is $(2, 1+\sqrt{-5})$ not principal?
108550
Elements of $\mathbb Q(2^{1/3})$
98496
Let $a,b \in \mathbb{Q^{+}}$ then $\sqrt{a} + \sqrt{b} \in \mathbb{Q} $ iff $\sqrt{a} \in \mathbb{Q}$ and $\sqrt{b} \in \mathbb{Q}$
122083
Prove that $\sqrt[3]{2} +\sqrt{5}$ is algebraic over $\mathbb Q$
39642
Efficient way to find $[\mathbb{Q}(\sqrt{5}, \sqrt{3}, \sqrt{2}): \mathbb{Q}(\sqrt{3}, \sqrt{2})]$
44528
The only natural number $x$ for which $x+\sqrt{-2}$ is a cube in $\mathbb{Z}[\sqrt{-2}]$ is $x=5$
72144
Show that $\mathbb Q(\sqrt p) \not\simeq\mathbb Q(\sqrt q)$
12524
Galois group of $x^3 - 2 $ over $\mathbb Q$