List questions from irrational-numbers

Published on 29 Mar 2026 - 4:52

281

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Irrational Base Number System: Any Benefits?

Published on 15 Jan 2020 - 2:37

188

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Is $\tan^{-1}\tan^{-1}1$ irrational?

Published on 26 Mar 2026 - 8:04

564

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Total order on irrational numbers

Published on 31 Mar 2026 - 10:59

196

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Is it possible to represent set of rational numbers as the countable union of disjoint dense subsets?

Published on 16 Jan 2020 - 22:01

115

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Prove $\sqrt{2}$ is irrational using prime number properties

Published on 25 Mar 2026 - 20:34

411

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Conjecture about the distribution of $0/1$ in the binary expansion of rational numbers

Published on 29 Mar 2026 - 4:54

616

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For two single irrational numbers "a" and "b" if (a+b) or (a-b) is rational , will it always be "0"?

Published on 18 Jan 2020 - 6:16

126

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Search for a Rationalizing Factor

Published on 18 Jan 2020 - 6:31

37

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for a rational number $a$ and an irrational number $b$ , if $ab$ is rational or $\frac{a}{b}$ is rational can we say that $a=0$?

Published on 18 Jan 2020 - 7:41

152

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Proof by Contradiction Involving Irrational Numbers and Sets

Published on 21 Jan 2020 - 0:49

105

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Prove that if $\frac{m}{n}<\sqrt{2}$, then there is a $\frac{m}{n}<\frac{m'}{n'}<\sqrt{2}$.

Published on 21 Jan 2020 - 2:43

984

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There's something strange about $\sum \frac 1 {\sin(n)}$.

Published on 27 Mar 2026 - 13:27

52

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Is this function an injection of $\mathbb{N} \to \mathbb{R}$?

Published on 26 Mar 2026 - 1:03

117

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Why is '$\frac{r^2\pi}{d^2}=\frac{\pi}{4}$'? (a.k.a. the ratio between a square and a circle, $a=d$)

Published on 27 Mar 2026 - 13:25

List Question

Proof that $\sqrt{2}$ is normal in base 2

Irrational Base Number System: Any Benefits?

Is $\tan^{-1}\tan^{-1}1$ irrational?

Total order on irrational numbers

Is it possible to represent set of rational numbers as the countable union of disjoint dense subsets?

Prove $\sqrt{2}$ is irrational using prime number properties

Conjecture about the distribution of $0/1$ in the binary expansion of rational numbers

For two single irrational numbers "a" and "b" if (a+b) or (a-b) is rational , will it always be "0"?

Search for a Rationalizing Factor

for a rational number $a$ and an irrational number $b$ , if $ab$ is rational or $\frac{a}{b}$ is rational can we say that $a=0$?

Proof by Contradiction Involving Irrational Numbers and Sets

Prove that if $\frac{m}{n}<\sqrt{2}$, then there is a $\frac{m}{n}<\frac{m'}{n'}<\sqrt{2}$.

There's something strange about $\sum \frac 1 {\sin(n)}$.

Is this function an injection of $\mathbb{N} \to \mathbb{R}$?

Why is '$\frac{r^2\pi}{d^2}=\frac{\pi}{4}$'? (a.k.a. the ratio between a square and a circle, $a=d$)

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