List questions from irrational-numbers

Published on 09 Apr 2026 - 10:08

262

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Is $\varphi$ the most irrational number?

Published on 09 Apr 2026 - 5:13

39

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

Published on 16 Apr 2026 - 1:55

56

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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 14 Apr 2026 - 18:30

165

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Why is pi irrational number?

Published on 15 Apr 2026 - 12:08

309

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How do you define irrational numbers?

Published on 09 Apr 2026 - 8:16

55

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

Published on 11 Apr 2026 - 16:52

612

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

Published on 14 Apr 2026 - 11:19

604

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Is this "irrational torus rotation" dense?

Published on 28 Mar 2026 - 1:06

330

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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 16 Apr 2026 - 14:23

67

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Rationalising fractions proof

Published on 11 Apr 2026 - 20:35

135

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

Published on 13 Apr 2026 - 21:34

95

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

Published on 16 Apr 2026 - 19:58

49

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How do I prove by contradiction?

Published on 10 Apr 2026 - 17:18

60

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

Published on 16 Apr 2026 - 4:46

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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