List questions from rational-numbers

Published on 01 Apr 2026 - 8:50

345

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Solve for Rationals $p,q,r$ Satisfying $\frac{2p}{1+2p-p^2}+\frac{2q}{1+2q-q^2}+\frac{2r}{1+2r-r^2}=1$.

Published on 28 Mar 2026 - 1:15

1.8k

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How to proof that a field is complete order field?

Published on 26 Dec 2015 - 2:54

1.3k

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$({\mathbb{Q}},+)$ is not finitely generated

Published on 29 Dec 2015 - 14:41

1.4k

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Why is epsilon not a rational number?

Published on 29 Dec 2015 - 18:30

117

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show the existence of a real number

Published on 31 Dec 2015 - 20:52

81

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What is known about rational points on the ideal of relations / syzygy ideal?

Published on 02 Apr 2026 - 1:33

2.5k

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Given any two real numbers $x<y$, there is a rational $q$ with $x<q<y$

Published on 04 Jan 2016 - 20:34

116

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Why is $\{p \in \mathbb{Q},:p<1\} | \{p \in \mathbb{Q}: p \geq 1\}$ a real number?

Published on 05 Jan 2016 - 1:40

236

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A rational orbit that's provably dense in the reals?

Published on 31 Mar 2026 - 11:30

2.7k

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How many sequences of rational numbers converging to 1 are there?

Published on 09 Jan 2016 - 13:58

83

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How do I know if this will be rational or irrational? ($a^b$)

Published on 03 Apr 2026 - 21:30

4.3k

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Find the maximum number of rational points on the circle with center $(0,\sqrt3)$

Published on 10 Jan 2016 - 12:58

376

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Proving $\mathbb{Q}[\sqrt{2}] = \{f(\sqrt{2}): f(x) \in \mathbb{Q}[x]\} = \{x+y\sqrt{2}:x,y\in\mathbb{Q}\}$

Published on 10 Jan 2016 - 15:10

109

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Determine all positive rational numbers $r \neq 1$ such that $r^{\frac{1}{r-1}}$ is rational?

Published on 12 Jan 2016 - 3:49

List Question

Describe the rational points on $3x^2 + y^2 = 4$

Solve for Rationals $p,q,r$ Satisfying $\frac{2p}{1+2p-p^2}+\frac{2q}{1+2q-q^2}+\frac{2r}{1+2r-r^2}=1$.

How to proof that a field is complete order field?

$({\mathbb{Q}},+)$ is not finitely generated

Why is epsilon not a rational number?

show the existence of a real number

What is known about rational points on the ideal of relations / syzygy ideal?

Given any two real numbers $x<y$, there is a rational $q$ with $x<q<y$

Why is $\{p \in \mathbb{Q},:p<1\} | \{p \in \mathbb{Q}: p \geq 1\}$ a real number?

A rational orbit that's provably dense in the reals?

How many sequences of rational numbers converging to 1 are there?

How do I know if this will be rational or irrational? ($a^b$)

Find the maximum number of rational points on the circle with center $(0,\sqrt3)$

Proving $\mathbb{Q}[\sqrt{2}] = \{f(\sqrt{2}): f(x) \in \mathbb{Q}[x]\} = \{x+y\sqrt{2}:x,y\in\mathbb{Q}\}$

Determine all positive rational numbers $r \neq 1$ such that $r^{\frac{1}{r-1}}$ is rational?

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