List questions from irrational-numbers

Published on 24 Nov 2012 - 16:44

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Integer Part and Arithmetic Progressions

Published on 30 Mar 2026 - 6:14

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Why must we distinguish between rational and irrational numbers?

Published on 09 Dec 2012 - 20:00

4.9k

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The logarithm of 3 base 10 is irrational

Published on 09 Dec 2012 - 23:32

121

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Decimal Representaion

Published on 10 Dec 2012 - 17:17

178

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irrationality of numbers with rational sum

Published on 17 Dec 2012 - 20:12

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Double limit of $\cos^{2n}(m! \pi x)$ at rationals and irrationals

Published on 25 Dec 2012 - 9:22

471

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Cluster points of the sequence $a_n(x):=nx-\lfloor nx \rfloor$

Published on 29 Dec 2012 - 12:02

367

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Direct proof that $\sqrt{2}$ is irrational?

Published on 29 Dec 2012 - 23:57

13k

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Multiples of an irrational number forming a dense subset

Published on 24 Feb 2026 - 8:19

883

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Irrational Numbers Containing Other Irrational Numbers

Published on 03 Apr 2026 - 22:36

3.4k

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Prove $ \sqrt{1 + \sqrt[3]{2}} $ is irrational using the theorem about rational roots of a polynomial

Published on 30 Mar 2026 - 17:03

550

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Are these numbers $h_{r,s}$ irrational?

Published on 11 Jan 2013 - 21:41

744

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If $a+b$ is an irrational number, is $a-b$ an irrational number, too?

Published on 11 Jan 2013 - 23:11

229

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Irrationality proof by fast converging series?

Published on 20 Jan 2013 - 12:47

List Question

Irrationals can be separable by finding a countable dense subset.

Integer Part and Arithmetic Progressions

Why must we distinguish between rational and irrational numbers?

The logarithm of 3 base 10 is irrational

Decimal Representaion

irrationality of numbers with rational sum

Double limit of $\cos^{2n}(m! \pi x)$ at rationals and irrationals

Cluster points of the sequence $a_n(x):=nx-\lfloor nx \rfloor$

Direct proof that $\sqrt{2}$ is irrational?

Multiples of an irrational number forming a dense subset

Irrational Numbers Containing Other Irrational Numbers

Prove $ \sqrt{1 + \sqrt[3]{2}} $ is irrational using the theorem about rational roots of a polynomial

Are these numbers $h_{r,s}$ irrational?

If $a+b$ is an irrational number, is $a-b$ an irrational number, too?

Irrationality proof by fast converging series?

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