Can $\sqrt[3]{2}$ be expressed as a linear combination of roots of unity?
84017
Is $\sqrt[3]{2}$ contained in $\mathbb{Q}(\zeta_n)$?
126040
Geometric explanation of $\sqrt 2 + \sqrt 3 \approx \pi$
77403
Finding the minimal polynomial of $\sqrt 2 + \sqrt[3] 2$ over $\mathbb Q$.
93212
Express $\sqrt{3}\sin\theta - \cos\theta$ as: $a\cos (\theta + \alpha) $
55197
Roots of $ x^3-3x+1$
89621
Square roots of quaternions
39642
Efficient way to find $[\mathbb{Q}(\sqrt{5}, \sqrt{3}, \sqrt{2}): \mathbb{Q}(\sqrt{3}, \sqrt{2})]$
56802
Why $\sqrt[3]{{2 + \sqrt 5 }} + \sqrt[3]{{2 - \sqrt 5 }}$ is a rational number?
103763
Minimal polynomial of $\sqrt{2}+\sqrt{3}$ over $\mathbb Q$
19676
Is it known whether ${\sqrt{2}}^{\sqrt{2}}$ is irrational?
44307
Prove $\sqrt[3]{3} \notin \mathbb{Q}(\sqrt[3]{2})$
54374
Alternating Series Using Other Roots of Unity
21237
$\sqrt{6}-\sqrt{2}-\sqrt{3}$ is irrational
56420
Is $\mathbb{Q}(\sqrt[3]{3}, \sqrt[4]{3})$ a Galois extension of $\mathbb{Q}$
150822
Finding $\sum_{k=0}^{n-1}\frac{\alpha_k}{2-\alpha_k}$, where $\alpha_k$ are the $n$-th roots of unity
86603
Infinite square-rooting
53331
$\mathbb{Q}(\sqrt2, \sqrt3)$ is not isomorphic to $\mathbb{Q}(\sqrt[4]2)$