Is it obvious that $\mathbb Q(\sqrt 3+\sqrt 5)=\mathbb Q(\sqrt 3,\sqrt 5)$?
32760
Is $\mathbf{Q}(\sqrt{2}, \sqrt{3}) = \mathbf{Q}(\sqrt{2}+\sqrt{3})$?
43300
The degree of $\sqrt{2} + \sqrt[3]{5}$ over $\mathbb Q$
109952
Find the minimal polynomial of $\sqrt2 + \sqrt3 $ over $\mathbb Q$
75639
Showing that $\sqrt[3]{2}\notin\Bbb Q(\alpha_1,...,\alpha_k)$ where $\alpha_i^2\in\Bbb Q\ \forall i$
38489
Degree of the extension $\mathbb{Q}(\sqrt{a+\sqrt{b}})$ over $\mathbb{Q}$
61103
Prove that $\mathbb{|Q| = |Q\times Q|}$
63478
Is $\mathbb{Q}(\sqrt{2}) \cong \mathbb{Q}(\sqrt{3})$?
140628
Are $(\Bbb R,+)$ and $(\Bbb Q, +)$ elementary equivalent?
127764
Showing that $\mathbb{Q}[\sqrt{2}, \sqrt{3}]$ contains multiplicative inverses
122932
When $(\mathbb{Q}(\zeta_n) : \mathbb{Q}) = 2$?
87682
Show that $\sqrt{2}\notin \mathbb{Q}(\sqrt[4]{3})$
84114
Does there exist a surjective homomorphism from $(\mathbb R,+)$ to $(\mathbb Q,+)$ ?
131971
If $k>0$ is a positive integer and $p$ is any prime, when is $\mathbb Z_p[\sqrt{k}] =\{a + b\sqrt k~|~a,b \in\mathbb Z_p\}$ a field.
148876
What is the meaning of $\mathbf{Q}(\sqrt{2},\sqrt{3})$
34906
Showing $[\mathbb{Q}(\sqrt[4]{2},\sqrt{3}):\mathbb{Q}]=8$.
6837
How to quotient $\mathbb Z [\sqrt{-11}] / (1+\sqrt{-11})$?
37529
If $\sqrt[3]{a} + \sqrt[3]{b}$ is rational then prove $\sqrt[3]{a}$ and $\sqrt[3]{b}$ are rational