Is $\sqrt{10} - \sqrt 6 -\sqrt 5 + \sqrt 3$ irrational?
114793
Prove that $\sqrt{10} - \sqrt6 - \sqrt5 + \sqrt3$ is irrational
56877
Show that $\sqrt{4 + 2\sqrt{3}} - \sqrt{3}$ is rational.
158066
Prove $2^{1/3}$ is irrational.
118374
Is there a proof that $\pi$ is an irrational number?
24706
Is there a rational number between any two irrationals?
84017
Is $\sqrt[3]{2}$ contained in $\mathbb{Q}(\zeta_n)$?
95141
$n^5-n$ is divisible by $10$?
144244
Bound on difference between irrational square root and rational number
92226
Prove $\sqrt6$ is irrational
19676
Is it known whether ${\sqrt{2}}^{\sqrt{2}}$ is irrational?
39642
Efficient way to find $[\mathbb{Q}(\sqrt{5}, \sqrt{3}, \sqrt{2}): \mathbb{Q}(\sqrt{3}, \sqrt{2})]$
115213
How to simplify $\sqrt[3]{7+5\sqrt{2}}+\sqrt[3]{7-5\sqrt{2}}$
30622
Proving $\sqrt 3$ is irrational.
63478
Is $\mathbb{Q}(\sqrt{2}) \cong \mathbb{Q}(\sqrt{3})$?
30478
How to prove that a number is irrational
69264
Is there an irrational number $a$ such that $a^a$ is rational?
7801
Can you raise a number to an irrational exponent?