List questions from irrational-numbers

Published on 25 Mar 2026 - 14:07

643

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If $r \ne 0$ is rational and $i$ is irrational, then $ri$ is irrational

Published on 30 Mar 2026 - 16:06

59

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Can I extend this definition from rationals to reals?

Published on 30 Mar 2026 - 16:10

21

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Irrationality Triples, Mathematics by Experiment, Borwein & Bailey (2003)

Published on 13 Apr 2020 - 10:21

356

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Secret pattern of irrational numbers

Published on 25 Mar 2026 - 22:10

103

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Is it possible to have $\text{transcendental}^\text{transcendental} =\text{algebraic}$?

Published on 26 Mar 2026 - 13:01

229

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Dirichlet approximation theorem: How "sporadic" are the good denominators?

Published on 25 Mar 2026 - 23:10

246

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

Published on 22 Apr 2020 - 6:17

47

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Is it true that if $p,q \in K_{>0}$, then $[0,pq) \subseteq [0,p)[0,q)$ in any ordered field?

Published on 25 Mar 2026 - 18:31

100

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Proving that $\sqrt[n]{m}$ is irrational

Published on 23 Apr 2020 - 14:18

272

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Intuition for understanding irrational numbers

Published on 26 Apr 2020 - 8:53

48

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Given the binary operation $xy=x^2+4xy+y^2$ show that $a1 \in \mathbb{N}$ has infinitely many solutions, where $a$ is irrational.

Published on 27 Mar 2026 - 18:28

101

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proving $\sqrt{a}+\sqrt[3]{b}$ where $a$ and $b$ are integers is rational only if $a$ is a perfect square and $b$ is a perfect cube.

Published on 30 Apr 2020 - 11:48

55

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A Question about rationality , irrationality or Transcendence of definite integral

Published on 26 Mar 2026 - 21:25

46

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Is it possible to put pi into terms of rationals

Published on 27 Mar 2026 - 21:20

List Question

Proof of irrationality of $\arcsin(\frac{1}{4})$

If $r \ne 0$ is rational and $i$ is irrational, then $ri$ is irrational

Can I extend this definition from rationals to reals?

Irrationality Triples, Mathematics by Experiment, Borwein & Bailey (2003)

Secret pattern of irrational numbers

Is it possible to have $\text{transcendental}^\text{transcendental} =\text{algebraic}$?

Dirichlet approximation theorem: How "sporadic" are the good denominators?

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

Is it true that if $p,q \in K_{>0}$, then $[0,pq) \subseteq [0,p)[0,q)$ in any ordered field?

Proving that $\sqrt[n]{m}$ is irrational

Intuition for understanding irrational numbers

Given the binary operation $xy=x^2+4xy+y^2$ show that $a1 \in \mathbb{N}$ has infinitely many solutions, where $a$ is irrational.

proving $\sqrt{a}+\sqrt[3]{b}$ where $a$ and $b$ are integers is rational only if $a$ is a perfect square and $b$ is a perfect cube.

A Question about rationality , irrationality or Transcendence of definite integral

Is it possible to put pi into terms of rationals

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