Is $2^\sqrt{2}$ is rational or irrational?
11069
Deciding whether $2^{\sqrt2}$ is irrational/transcendental
75204
Irrationality $\sqrt{2}$ with ideal
125267
Prove that $2^{1/2}$ is irrational
44476
Can we ever get an irrational number by dividing two rational numbers?
151439
$\sqrt{1-x^2}$ is not a rational function
21237
$\sqrt{6}-\sqrt{2}-\sqrt{3}$ is irrational
150576
When is an Integer a Rational Number, and are All Ratios Rational, Even $\frac{\sqrt{7}}{2}$?
111094
Help with proving that $\pi$ is irrational
48975
Transcendental numbers and irrationality measure
139755
Prove that $\sqrt{2}+\sqrt{3}+\sqrt{5}$ is irrational. Generalise this.
129433
$\sqrt{m_1}+\sqrt{m_2}+ \cdots + \sqrt{m_n}$ is Irrational
140949
Proving that for each prime number $p$, the number $\sqrt{p}$ is irrational
37915
$\sqrt{2}$ is irrational proof using well-Ordering Property
58284
How to prove that $\sqrt[3] 2 + \sqrt[3] 4$ is irrational?
19254
How many rationals of the form $\large \frac{2^n+1}{n^2}$ are integers?
1877
Can an irrational number raised to an irrational power be rational?
44573
Can $\pi$ be rational in some base radix