Is it true $\mathbb Q(\sqrt{2},\sqrt[3]{2})=\mathbb Q(\sqrt{2}+\sqrt[3]{2})$?
50668
Show that $\mathbb{Q}(\sqrt2, \sqrt[3]2)$ is a primitive field extension of $\mathbb{Q}$.
117789
Computing Galois Group of $\mathbb{Q}(\sqrt{2},\sqrt{3}):\mathbb{Q}$
62485
How can I prove $\sqrt{2}^{\sqrt{2}^{\sqrt{2}^{\sqrt{2}^{\sqrt{2}...}}}}=2$
108550
Elements of $\mathbb Q(2^{1/3})$
4228
Prove that the only automorphism of $\mathbb{Q}(\sqrt[3]{2})$ is the identity automorphism.
99516
Show $\mathbb{Q}[\sqrt[3]{2}]$ is a field by rationalizing
55050
How to show that $\mathbb{Q}(i,\sqrt[4]{1+i} )$ is not contained in any cyclotomic extension of $\mathbb{Q}(i)$?
58009
How to show that $\mathbb Q(\sqrt 2)$ is not field isomorphic to $\mathbb Q(\sqrt 3).$
140628
Are $(\Bbb R,+)$ and $(\Bbb Q, +)$ elementary equivalent?
84017
Is $\sqrt[3]{2}$ contained in $\mathbb{Q}(\zeta_n)$?
98256
Subfields of $\mathbb{Q}(\sqrt{2},\sqrt{3})$
148876
What is the meaning of $\mathbf{Q}(\sqrt{2},\sqrt{3})$
1914
General way to determine $\mathbb{Q}(\gamma) = \mathbb{Q}(\alpha,\beta)$ given $\alpha$ and $\beta$
155165
Prove that $\mathbb F_8=\mathbb F_2[X]/(X^3+X+1)$
138501
Is $\mathbf{Q}(\sqrt{2},\sqrt{3}) = \mathbf{Q}(\sqrt{6})$?
57967
Difference between $\mathbb C$ and $\mathbb R^2$
86015
$\mathbb Q[x]/(x^2+1)$ is not isomorphic to $\mathbb Q[x]/(x^2+2)$