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New posts in rationality-testing
Irrationality of $\sqrt{2\sqrt{3\sqrt{4\cdots}}}$
nested-radicals
rationality-testing
Irrationality proofs not by contradiction
irrational-numbers
rationality-testing
Prove that $\sum_{n=1}^\infty \frac{n!}{n^n}$is irrational.
sequences-and-series
rationality-testing
$\sin 1^\circ$ is irrational but how do I prove it in a slick way? And $\tan(1^\circ)$ is .....
trigonometry
rationality-testing
Proof of irrationality of square roots without the fundamental theorem of arithmetic
elementary-number-theory
rationality-testing
irrationality of $\sqrt{2}^{\sqrt{2}}$.
irrational-numbers
constructive-mathematics
rationality-testing
Is the sum and difference of two irrationals always irrational?
arithmetic
rationality-testing
When is $\sin(x)$ rational?
number-theory
trigonometry
rationality-testing
Prove $2^{1/3}$ is irrational.
elementary-number-theory
radicals
rationality-testing
A real number $x$ such that $x^n$ and $(x+1)^n$ are rational is itself rational
number-theory
polynomials
galois-theory
irreducible-polynomials
rationality-testing
Why is it hard to prove whether $\pi+e$ is an irrational number?
number-theory
soft-question
exponential-function
pi
rationality-testing
What is the most unusual proof you know that $\sqrt{2}$ is irrational?
big-list
irrational-numbers
alternative-proof
rationality-testing
Can $\sqrt{n} + \sqrt{m}$ be rational if neither $n,m$ are perfect squares?
number-theory
discrete-mathematics
irrational-numbers
rationality-testing
faq
Can $x^{x^{x^x}}$ be a rational number?
number-theory
transcendental-numbers
tetration
power-towers
rationality-testing
How can you prove that the square root of two is irrational?
elementary-number-theory
radicals
rationality-testing
How to prove: if $a,b \in \mathbb N$, then $a^{1/b}$ is an integer or an irrational number?
number-theory
radicals
faq
rationality-testing
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