Value of $(-1)^x$ for $x$ irrational
7801
Can you raise a number to an irrational exponent?
97952
Square root of 1 is (not) -1
11069
Deciding whether $2^{\sqrt2}$ is irrational/transcendental
23752
Proving Irrationality
144953
Value of $\frac{x^n -a^n}{ x-a}$?
19676
Is it known whether ${\sqrt{2}}^{\sqrt{2}}$ is irrational?
39021
Proving that $\sqrt{2}+\sqrt{3}$ is irrational
1877
Can an irrational number raised to an irrational power be rational?
44600
How can I prove: if $p $ is prime and $n>1$, then $ p^{\frac1n} $ is irrational?
144244
Bound on difference between irrational square root and rational number
126199
Proof of $\pi$ not being a quadratic irrational number.
4946
Non-existence of irrational numbers?
32848
Prove that the product of a non-zero rational and irrational number is irrational.
110826
prove that : $ i = \sqrt {-1}\ $
9966
Range of a Rational Function
127830
proof that $\sqrt(2)$ is irrational / why is the fraction irreducible
143733
Is this proof that $\sqrt 2$ is irrational correct?