Question

Can there be an Irrational Numbers Hotel?

score 552 · Answer 1 · 2026-03-28 20:56:00

552

Views

Can there be an Irrational Numbers Hotel?

Published on 28 Mar 2026 - 20:56

score 49 · Answer 2 · 2020-02-24 04:34:58

49

Views

π≠a+b√2 when a and b are both rationals

Published on 24 Feb 2020 - 4:34

score 219 · Answer 3 · 2026-03-31 04:17:20

219

Views

How can we get Nth digit of any irrational number in base 2 using Taylor expansion?

Published on 31 Mar 2026 - 4:17

score 49 · Answer 4 · 2026-03-30 14:26:41

49

Views

How can I prove that an irrational number can be raised to another one and the result is rational?

Published on 30 Mar 2026 - 14:26

score 45 · Answer 5 · 2020-03-03 21:37:11

45

Views

Determining Rational/Irrational Variable from An Equation

Published on 03 Mar 2020 - 21:37

score 135 · Answer 6 · 2020-03-04 14:43:53

135

Views

Formula for $\sqrt 2$ that bugged me with respect to irrationality

Published on 04 Mar 2020 - 14:43

score 818 · Answer 7 · 2020-03-07 13:00:39

818

Views

Why does proof by contradiction not work on Rational numbers but only on Irrational numbers?

Published on 07 Mar 2020 - 13:00

score 88 · Answer 8 · 2026-03-29 20:54:01

88

Views

prove that $\sqrt{\frac{3}{5}}$ is irrational number

Published on 29 Mar 2026 - 20:54

score 79 · Answer 9 · 2020-03-08 15:08:09

79

Views

Prove that $\sqrt{\sqrt{7}-\sqrt{5}}$ is irrational.

Published on 08 Mar 2020 - 15:08

score 137 · Answer 10 · 2026-03-28 07:48:24

137

Views

Trigonometric formula coming from hypergeometric functions

Published on 28 Mar 2026 - 7:48

score 190 · Answer 11 · 2026-03-28 16:14:08

190

Views

Relation between rationality of same infinite series convergent both in $\mathbb{R}$ and $\mathbb{Q}_p$

Published on 28 Mar 2026 - 16:14

score 272 · Answer 12 · 2026-03-26 14:34:51

272

Views

What about of the irrationality and transcendence of expressions involving the omega constant, and/or $\pi$ and $e$?

Published on 26 Mar 2026 - 14:34

score 68 · Answer 13 · 2020-03-16 06:28:24

68

Views

The sereis $ \sum_{n=1}^{\infty} 1/2^{n^2} $ converges to irrational?

Published on 16 Mar 2020 - 6:28

score 1k · Answer 14 · 2020-03-18 07:57:31

1k

Views

Can I rationalize the denominator of $\frac{1}{\pi}$?

Published on 18 Mar 2020 - 7:57

score 754 · Answer 15 · 2020-03-18 08:46:02

754

Views

Explanation of all the incomplete details on Apery's theorem proof following van der Poorten article.

Published on 18 Mar 2020 - 8:46

List Question

Can there be an Irrational Numbers Hotel?

π≠a+b√2 when a and b are both rationals

How can we get Nth digit of any irrational number in base 2 using Taylor expansion?

How can I prove that an irrational number can be raised to another one and the result is rational?

Determining Rational/Irrational Variable from An Equation

Formula for $\sqrt 2$ that bugged me with respect to irrationality

Why does proof by contradiction not work on Rational numbers but only on Irrational numbers?

prove that $\sqrt{\frac{3}{5}}$ is irrational number

Prove that $\sqrt{\sqrt{7}-\sqrt{5}}$ is irrational.

Trigonometric formula coming from hypergeometric functions

Relation between rationality of same infinite series convergent both in $\mathbb{R}$ and $\mathbb{Q}_p$

What about of the irrationality and transcendence of expressions involving the omega constant, and/or $\pi$ and $e$?

The sereis $ \sum_{n=1}^{\infty} 1/2^{n^2} $ converges to irrational?

Can I rationalize the denominator of $\frac{1}{\pi}$?

Explanation of all the incomplete details on Apery's theorem proof following van der Poorten article.

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