List questions from irrational-numbers

Published on 22 Oct 2014 - 1:40

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How do irrational numbers lie on the number line?

Published on 28 Mar 2026 - 11:53

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How to show that the product of two irrational numbers may be irrational?

Published on 25 Mar 2026 - 9:28

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Identify irrational basis of $\mathbb{Q}$-vector space

Published on 30 Mar 2026 - 0:17

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A density question

Published on 26 Oct 2014 - 4:15

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Does there exist a function that is continuous at every rational point and discontinuous at every irrational point? And vice versa?

Published on 27 Oct 2014 - 17:55

345

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How to prove that the problem cannot be solved by the four Arithmetic Operations?

Published on 27 Oct 2014 - 23:07

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Is $\mathbb{R}\setminus\mathbb{Q}$ a union of countable family of closed sets?

Published on 28 Oct 2014 - 10:29

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How do you solve a logarithm with a non-integer base?

Published on 28 Mar 2026 - 23:18

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Cardinality of set of Dedekind cuts (elementary)

Published on 03 Nov 2014 - 23:23

283

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Roots of polynomials: Vieta's Formula

Published on 05 Nov 2014 - 21:21

1k

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Which irrationals are contained in the Cantor set?

Published on 26 Mar 2026 - 8:15

571

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An Impossible Ratio

Published on 28 Mar 2026 - 20:51

111

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There are infinitely many $\frac{m}{n}\in\mathbb Q$ such that $|x- \frac{m}{n} |<\frac{1}{n^2}$

Published on 25 Mar 2026 - 18:31

821

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A positive integer with is not a perfect square is a product of distinct prime factors

Published on 22 Nov 2014 - 17:20

List Question

Constraining mathematics to a subset of $\mathbb{R}$

How do irrational numbers lie on the number line?

How to show that the product of two irrational numbers may be irrational?

Identify irrational basis of $\mathbb{Q}$-vector space

A density question

Does there exist a function that is continuous at every rational point and discontinuous at every irrational point? And vice versa?

How to prove that the problem cannot be solved by the four Arithmetic Operations?

Is $\mathbb{R}\setminus\mathbb{Q}$ a union of countable family of closed sets?

How do you solve a logarithm with a non-integer base?

Cardinality of set of Dedekind cuts (elementary)

Roots of polynomials: Vieta's Formula

Which irrationals are contained in the Cantor set?

An Impossible Ratio

There are infinitely many $\frac{m}{n}\in\mathbb Q$ such that $|x- \frac{m}{n} |<\frac{1}{n^2}$

A positive integer with is not a perfect square is a product of distinct prime factors

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