List questions from irrational-numbers

Published on 25 Mar 2026 - 20:10

279

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Show that $\lim_{k\to\infty}\lim_{j\to\infty}\cos^{2j}k!\pi x=0$

Published on 25 Mar 2026 - 6:04

309

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Prove that $\sqrt[3]{5} + \sqrt{2}$ is irrational

Published on 28 Oct 2018 - 21:32

176

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Maximum Period of Decimal Expansion

Published on 25 Mar 2026 - 12:26

146

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Does $lcm\{1,2,...,n\} = \prod_{p\leq n, p\in\mathbb{P}}p^{\lceil \frac{log(n)}{log(p)}\rceil}$?

Published on 25 Mar 2026 - 11:54

1k

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Proof that the nth root of a rational s/t is irrational unless s and t are perfect nth powers

Published on 30 Oct 2018 - 13:35

30

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Find real numbers satisfying some conditions of rational dependance

Published on 25 Mar 2026 - 20:15

177

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Sequence of fractions $c_n = a_n / b_n$ converges to irrational $x$, prove $a_n$ and $b_n$ diverges to infinity.

Published on 06 Nov 2018 - 7:30

222

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How to analyze $(-1)^{\left \lfloor n\theta \right \rfloor}$ (in which $\theta$ is an irrational number)?

Published on 06 Nov 2018 - 8:50

384

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Proving $e$ is irrational using a Beukers-like integral

Published on 08 Nov 2018 - 2:34

193

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Is a polygon with irrational internal angles possible?

Published on 08 Nov 2018 - 4:15

283

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Did Babylonians know the Pythagorean theorem before his time?

Published on 25 Mar 2026 - 20:35

313

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every positive rational number can be written as a finite sum of distinct numbers of the form 1/n where n is natural

Published on 12 Nov 2018 - 10:34

44

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Are there more real numbers than irrational numbers?

Published on 25 Mar 2026 - 6:02

43

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Prove of irrationality

Published on 16 Nov 2018 - 18:45

List Question

Interior and closure of $\mathbb{Q}\cap (0,1)$.

Show that $\lim_{k\to\infty}\lim_{j\to\infty}\cos^{2j}k!\pi x=0$

Prove that $\sqrt[3]{5} + \sqrt{2}$ is irrational

Maximum Period of Decimal Expansion

Does $lcm\{1,2,...,n\} = \prod_{p\leq n, p\in\mathbb{P}}p^{\lceil \frac{log(n)}{log(p)}\rceil}$?

Proof that the nth root of a rational s/t is irrational unless s and t are perfect nth powers

Find real numbers satisfying some conditions of rational dependance

Sequence of fractions $c_n = a_n / b_n$ converges to irrational $x$, prove $a_n$ and $b_n$ diverges to infinity.

How to analyze $(-1)^{\left \lfloor n\theta \right \rfloor}$ (in which $\theta$ is an irrational number)?

Proving $e$ is irrational using a Beukers-like integral

Is a polygon with irrational internal angles possible?

Did Babylonians know the Pythagorean theorem before his time?

every positive rational number can be written as a finite sum of distinct numbers of the form 1/n where n is natural

Are there more real numbers than irrational numbers?

Prove of irrationality

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