New posts in irrational-numbers

Why no common factors in proving root 2 is irrational?

Is there a definition of a "pseudo period" for $f(x)=\sin(3x)+\sin(\pi x)$?

Can the formula $\frac\pi2=(\frac21)^{1/2}(\frac{2^2}{1\cdot3})^{1/4}(\frac{2^3\cdot4}{1\cdot3^3})^{1/8}\cdots$ prove the irrationality of $\pi$?

Limit points of particular sets of real numbers.

How to understand “Union of balls centered at rational numbers is way less than $\mathbb{R}$

Proof $\sqrt{2}$ irrational using last digits

Irrational numbers generated by a deterministic cellular automaton?

General Continued Fractions and Irrationality

$\lfloor a n\rfloor \lfloor b n\rfloor \lfloor c n\rfloor = \lfloor d n\rfloor \lfloor e n\rfloor \lfloor f n\rfloor$ for all $n$

Strange approximation to $\sqrt{\pi}$

Is this a valid argument for proving that a sum of reciprocals is irrational?

$f$ differentiable, $f(x)$ rational if $x$ rational; $f(x)$ irrational if $x$ irrational. Is $f$ a linear function?

Is there a dense subset of $\mathbb{R}^2$ with all distances being incommensurable?

$\arctan$ of a square root as a rational multiple of $\pi$

Unit Quaternion to a Scalar Power

Hopping to infinity along a string of digits

Are the square roots of all non-perfect squares irrational? [duplicate]

$2^\sqrt{10}$ vs $3^2$

Truth of $x^2-2=0$

If $(n_k)$ is strictly increasing and $\lim_{n \to \infty} n_k^{1/2^k} = \infty$ show that $\sum_{k=1}^{\infty} 1/n_k$ is irrational