List questions from irrational-numbers

Published on 23 Feb 2026 - 6:36

260

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Is $\varphi$ the most irrational number?

Published on 25 Mar 2026 - 17:23

36

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How $\sum_{p-1}^{2p-1} |c_N|=(1+k)^p$ holds?

Published on 01 Feb 2020 - 12:16

54

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Rationality or otherwise of one angle included by two sides each having distinct integer lengths in an acute-angled scalene triangle

Published on 02 Feb 2020 - 15:16

163

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Why is pi irrational number?

Published on 27 Mar 2026 - 15:05

306

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How do you define irrational numbers?

Published on 05 Feb 2020 - 5:18

52

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How to prove that $\sqrt{2} + \sqrt{7}$ is irrational?

Published on 05 Feb 2020 - 22:30

609

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Limit associated with a recursion, connection to normality of quadratic irrationals

Published on 07 Feb 2020 - 7:46

604

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Is this "irrational torus rotation" dense?

Published on 28 Mar 2026 - 1:06

328

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Prove $a < (p+1)/n < b$ if $a,b$ are irrationals with $0<a<b$ and $p$ is greatest integer with $p/n < a$

Published on 29 Mar 2026 - 17:27

65

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Rationalising fractions proof

Published on 29 Mar 2026 - 19:09

133

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Is $\sum_{n=1}^{\infty} \frac{1}{\operatorname{lcm}[1,~2,~\ldots,~n]}$ irrational?

Published on 28 Mar 2026 - 21:51

92

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Prove that $4^{1/3}+10^{1/2}$ is irrational

Published on 22 Feb 2020 - 22:56

47

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How do I prove by contradiction?

Published on 30 Mar 2026 - 14:19

58

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Is $\tan x\in\mathbb{Q}\setminus\{0\}\implies x\notin\mathbb{Q}$ always true?

Published on 27 Mar 2026 - 14:51

List Question

Proof that $\log_23 +\log_52$ is irrational number

Is $\varphi$ the most irrational number?

How $\sum_{p-1}^{2p-1} |c_N|=(1+k)^p$ holds?

Rationality or otherwise of one angle included by two sides each having distinct integer lengths in an acute-angled scalene triangle

Why is pi irrational number?

How do you define irrational numbers?

How to prove that $\sqrt{2} + \sqrt{7}$ is irrational?

Limit associated with a recursion, connection to normality of quadratic irrationals

Is this "irrational torus rotation" dense?

Prove $a < (p+1)/n < b$ if $a,b$ are irrationals with $0<a<b$ and $p$ is greatest integer with $p/n < a$

Rationalising fractions proof

Is $\sum_{n=1}^{\infty} \frac{1}{\operatorname{lcm}[1,~2,~\ldots,~n]}$ irrational?

Prove that $4^{1/3}+10^{1/2}$ is irrational

How do I prove by contradiction?

Is $\tan x\in\mathbb{Q}\setminus\{0\}\implies x\notin\mathbb{Q}$ always true?

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