Rationality of a power with irrational exponent
1877
Can an irrational number raised to an irrational power be rational?
143054
Can you raise $\pi$ to a real power to make it rational?
65300
Why is $\pi$ irrational?
26109
Show that $\arctan(n)$ is irrational for all $n \in \mathbb{N}$
132165
"Polynomials" with non-integer exponents
113993
Complex power of a complex number
125267
Prove that $2^{1/2}$ is irrational
158368
Irrationals: A Group?
15330
Double limit of $\cos^{2n}(m! \pi x)$ at rationals and irrationals
77129
Density of irrationals
147920
Infinite powering by $i$
13592
How can $\pi$ be irrational if it can be calculated using an infinite series of rational numbers?
101028
Irrational numbers and Borel Sets
115834
Cubic polynomial with three (distinct) irrational roots
86988
Cardinality of the Irrationals
100759
Extending exponentiation to reals
128298
Irrationality of sum of two logarithms: $\log_2 5 +\log_3 5$