List questions from irrational-numbers

Published on 11 Apr 2026 - 21:17

1.3k

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Can any two irrational numbers NOT of the form (m+A) and (n-A) be added to produce a rational number?

Published on 16 Apr 2026 - 12:17

76

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Under what conditions can $a\sqrt{b} \pm c\sqrt{d}$ be written as $u+v\sqrt{w}$?

Published on 13 Apr 2026 - 13:18

494

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New mathematical constant formed by continued fraction with prime numbers?

Published on 12 Apr 2026 - 0:19

4.8k

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Unit Quaternion to a Scalar Power

Published on 14 Apr 2026 - 16:36

91

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For which values of $n$, the real part of the $n$-th root of unity is a quadratic irrational?

Published on 14 Apr 2026 - 0:40

602

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Irrational roots of unity?

Published on 11 May 2026 - 3:01

79

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There is at most one way to represent a number as $a+b\sqrt 2$ with rational $a,b$

Published on 11 Apr 2026 - 16:49

467

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Monotone increasing sequence of rationals with an irrational limit

Published on 12 Apr 2026 - 9:32

252

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Application of the Rational Roots Theorem

Published on 12 Apr 2026 - 21:11

248

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rational number plane vector space or not?

Published on 15 Apr 2026 - 19:15

206

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$\Bbb{Q}$ is not complete: Carification regarding a proof

Published on 13 Apr 2026 - 21:28

435

Views

Is it possible to not have irrational numbers?

Published on 08 Apr 2026 - 17:09

2.2k

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Systematic way to represent any irrational number

Published on 14 Apr 2026 - 22:52

747

Views

Does every plane curve contain a rational point?

Published on 14 Apr 2026 - 14:16

List Question

How to prove that a number is irrational

Can any two irrational numbers NOT of the form (m+A) and (n-A) be added to produce a rational number?

Under what conditions can $a\sqrt{b} \pm c\sqrt{d}$ be written as $u+v\sqrt{w}$?

New mathematical constant formed by continued fraction with prime numbers?

Unit Quaternion to a Scalar Power

For which values of $n$, the real part of the $n$-th root of unity is a quadratic irrational?

Irrational roots of unity?

There is at most one way to represent a number as $a+b\sqrt 2$ with rational $a,b$

Monotone increasing sequence of rationals with an irrational limit

Application of the Rational Roots Theorem

rational number plane vector space or not?

$\Bbb{Q}$ is not complete: Carification regarding a proof

Is it possible to not have irrational numbers?

Systematic way to represent any irrational number

Does every plane curve contain a rational point?

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