Deciding whether $2^{\sqrt2}$ is irrational/transcendental
10882
irrationality of $\sqrt{2}^{\sqrt{2}}$.
89716
Is there a proof of the irrationality of $\sqrt{2}$ that involves modular arithmetic?
75204
Irrationality $\sqrt{2}$ with ideal
58284
How to prove that $\sqrt[3] 2 + \sqrt[3] 4$ is irrational?
100973
Check if this proof about real numbers with an irrational product is correct.
109175
Why is it hard to prove whether $\pi+e$ is an irrational number?
140949
Proving that for each prime number $p$, the number $\sqrt{p}$ is irrational
50930
Proving the continued fraction representation of $\sqrt{2}$
125267
Prove that $2^{1/2}$ is irrational
48035
Prove that square root of 2 is irrational using the principle of Mathematical Induction
107105
Is an irrational number odd or even?
7801
Can you raise a number to an irrational exponent?
2926
The contradiction method used to prove that the square root of a prime is irrational
150576
When is an Integer a Rational Number, and are All Ratios Rational, Even $\frac{\sqrt{7}}{2}$?
37915
$\sqrt{2}$ is irrational proof using well-Ordering Property
55077
prove that $2\sqrt5 +\sqrt{11}$ is irrational
28347
Prove that $\sqrt 2 + \sqrt 3$ is irrational