Question

$\sqrt{x^2+y^3}$ and $\sqrt{x^3+y^2}$ are rational

score 141 · Answer 1 · 2014-10-30 22:42:40

141

Views

$\sqrt{x^2+y^3}$ and $\sqrt{x^3+y^2}$ are rational

Published on 30 Oct 2014 - 22:42

score 40 · Answer 2 · 2026-03-27 11:47:52

40

Views

Properties of digit functions for numbers in $[0,1]$

Published on 27 Mar 2026 - 11:47

score 54 · Answer 3 · 2014-11-07 13:45:57

54

Views

Is the set $ \{(p_1,p_2,\dots, p_n):p_i\in \mathbb Q\}$ connected?

Published on 07 Nov 2014 - 13:45

score 203 · Answer 4 · 2014-11-09 12:20:01

203

Views

Given conditions on the fraction, can we find a 'best rational approximation'

Published on 09 Nov 2014 - 12:20

score 311 · Answer 5 · 2014-11-11 22:24:50

311

Views

Prove that $\mathbb{Q}[\sqrt{p}]$ is a field between $\mathbb{Q}$ and $\mathbb{R}$

Published on 11 Nov 2014 - 22:24

score 127 · Answer 6 · 2026-03-26 16:05:41

127

Views

$a_1^k+a_2^k+\dots+a_n^k$ integer implies all $a_i$ are integers?

Published on 26 Mar 2026 - 16:05

score 114 · Answer 7 · 2014-11-16 04:08:01

114

Views

How to prove that the function $f(x) = 2 \left \lfloor x \right \rfloor - x$ is one to one for rational $x$?

Published on 16 Nov 2014 - 4:08

score 11.5k · Answer 8 · 2014-11-16 06:38:12

11.5k

Views

Quadratic Equations - One rational solution?

Published on 16 Nov 2014 - 6:38

score 133 · Answer 9 · 2026-03-29 04:09:40

133

Views

Does the equation $\tan(x)=y$ have any non-zero rational solution?

Published on 29 Mar 2026 - 4:09

score 2.3k · Answer 10 · 2014-11-24 12:57:44

2.3k

Views

Path connectedness of the set of points $(x,y)$ where $x$ is rational or $y$ is rational

Published on 24 Nov 2014 - 12:57

score 65 · Answer 11 · 2026-03-29 23:44:01

65

Views

Is the sum of rational exponentials a rational exponential?.

Published on 29 Mar 2026 - 23:44

score 1.2k · Answer 12 · 2014-11-24 22:12:42

1.2k

Views

Finding the simplest rational in a closed interval

Published on 24 Nov 2014 - 22:12

score 148 · Answer 13 · 2026-03-29 02:36:13

148

Views

$(-3)^{3/2} \neq (-3)^{6/4}$

Published on 29 Mar 2026 - 2:36

score 2.3k · Answer 14 · 2026-03-28 04:34:30

2.3k

Views

Proving Floor and Ceiling of a Rational Number

Published on 28 Mar 2026 - 4:34

score 641 · Answer 15 · 2014-12-02 09:04:24

641

Views

Equality of positive rational numbers, Part-2

Published on 02 Dec 2014 - 9:04

List Question

$\sqrt{x^2+y^3}$ and $\sqrt{x^3+y^2}$ are rational

Properties of digit functions for numbers in $[0,1]$

Is the set $ \{(p_1,p_2,\dots, p_n):p_i\in \mathbb Q\}$ connected?

Given conditions on the fraction, can we find a 'best rational approximation'

Prove that $\mathbb{Q}[\sqrt{p}]$ is a field between $\mathbb{Q}$ and $\mathbb{R}$

$a_1^k+a_2^k+\dots+a_n^k$ integer implies all $a_i$ are integers?

How to prove that the function $f(x) = 2 \left \lfloor x \right \rfloor - x$ is one to one for rational $x$?

Quadratic Equations - One rational solution?

Does the equation $\tan(x)=y$ have any non-zero rational solution?

Path connectedness of the set of points $(x,y)$ where $x$ is rational or $y$ is rational

Is the sum of rational exponentials a rational exponential?.

Finding the simplest rational in a closed interval

$(-3)^{3/2} \neq (-3)^{6/4}$

Proving Floor and Ceiling of a Rational Number

Equality of positive rational numbers, Part-2

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