Question

Intersection of family of sets of real numbers formed by set of rational numbers.

score 59 · Answer 1 · 2024-01-24 02:06:35

59

Views

Intersection of family of sets of real numbers formed by set of rational numbers.

Published on 24 Jan 2024 - 2:06

score 58 · Answer 2 · 2026-04-02 17:51:06

58

Views

Explanation needed for the theorem of irrational/rational number

Published on 02 Apr 2026 - 17:51

score 282 · Answer 3 · 2024-01-27 19:02:24

282

Views

Does this recursively defined set contain all rational numbers $r\in(0,1)$?

Published on 27 Jan 2024 - 19:02

score 87 · Answer 4 · 2026-04-02 14:02:14

87

Views

An alternative way of looking at countable/uncountable infinities

Published on 02 Apr 2026 - 14:02

score 87 · Answer 5 · 2026-04-02 17:42:02

87

Views

Considering Rectangles Whose Perimeter/Long Side Ratio is Equal to Long Side/Short Side Ratio

Published on 02 Apr 2026 - 17:42

score 280 · Answer 6 · 2026-04-01 17:26:29

280

Views

Find the smallest real number $M$ for which $\{a\} + \{b\} + \{c\} ≤ M$

Published on 01 Apr 2026 - 17:26

score 62 · Answer 7 · 2026-04-03 00:22:02

62

Views

Prove this property of rational upper bounds of $\{x\in\Bbb Q\mid x^2<2\}$

Published on 03 Apr 2026 - 0:22

score 64 · Answer 8 · 2024-02-03 14:27:26

64

Views

Find all positive rational numbers such that $n^{\frac{1}{n-1}}$ is rational too

Published on 03 Feb 2024 - 14:27

score 89 · Answer 9 · 2026-03-25 01:18:31

89

Views

solution-verification | Show that if $a$ and $q$ are natural numbers and the number $(a+\sqrt{q})(a+\sqrt{q+1})$ is rational, then $q=0$.

Published on 25 Mar 2026 - 1:18

score 59 · Answer 10 · 2026-03-25 01:17:36

59

Views

Prove that there are infinitely many distinct natural numbers $a,b$ for which $\sqrt{a+b}, \sqrt{a-b}$ are simultaneously rational

Published on 25 Mar 2026 - 1:17

score 53 · Answer 11 · 2026-04-01 19:08:23

53

Views

Show the values of $x$ such that $g$ is continuous.

Published on 01 Apr 2026 - 19:08

score 196 · Answer 12 · 2026-03-31 10:17:16

196

Views

Determine all the integers $x$ that have the property that $\sqrt{x^2+7x+21}$ is a rational number.

Published on 31 Mar 2026 - 10:17

score 51 · Answer 13 · 2026-04-01 03:39:36

51

Views

My question is whether given function is periodic or not

Published on 01 Apr 2026 - 3:39

score 143 · Answer 14 · 2024-02-22 11:21:00

143

Views

Show some proofs in the set $M=\{a+x+\sqrt{a-x+x^2}|x\in N\}$

Published on 22 Feb 2024 - 11:21

score 76 · Answer 15 · 2024-02-22 16:41:56

76

Views

Does the set ${\displaystyle A =\{q\in \mathbb {Q} |q<a\}} $ have a maximum element?

Published on 22 Feb 2024 - 16:41

List Question

Intersection of family of sets of real numbers formed by set of rational numbers.

Explanation needed for the theorem of irrational/rational number

Does this recursively defined set contain all rational numbers $r\in(0,1)$?

An alternative way of looking at countable/uncountable infinities

Considering Rectangles Whose Perimeter/Long Side Ratio is Equal to Long Side/Short Side Ratio

Find the smallest real number $M$ for which $\{a\} + \{b\} + \{c\} ≤ M$

Prove this property of rational upper bounds of $\{x\in\Bbb Q\mid x^2<2\}$

Find all positive rational numbers such that $n^{\frac{1}{n-1}}$ is rational too

solution-verification | Show that if $a$ and $q$ are natural numbers and the number $(a+\sqrt{q})(a+\sqrt{q+1})$ is rational, then $q=0$.

Prove that there are infinitely many distinct natural numbers $a,b$ for which $\sqrt{a+b}, \sqrt{a-b}$ are simultaneously rational

Show the values of $x$ such that $g$ is continuous.

Determine all the integers $x$ that have the property that $\sqrt{x^2+7x+21}$ is a rational number.

My question is whether given function is periodic or not

Show some proofs in the set $M=\{a+x+\sqrt{a-x+x^2}|x\in N\}$

Does the set ${\displaystyle A =\{q\in \mathbb {Q} |q<a\}} $ have a maximum element?

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