Question

Are there infinitely many natural numbers whose square root is rational?

score 1.8k · Answer 1 · 2013-10-07 15:25:37

1.8k

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Are there infinitely many natural numbers whose square root is rational?

Published on 07 Oct 2013 - 15:25

score 1.7k · Answer 2 · 2013-10-08 08:53:41

1.7k

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Is there a bijection between $\mathbb{Q}$ and $\mathbb{Q}_{>0}$?

Published on 08 Oct 2013 - 8:53

score 2.2k · Answer 3 · 2013-10-10 00:31:05

2.2k

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Proving supremum for non-empty, bounded subsets of Q iff supremum in R is rational

Published on 10 Oct 2013 - 0:31

score 2.3k · Answer 4 · 2013-10-10 19:23:32

2.3k

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Prove that x is rational

Published on 10 Oct 2013 - 19:23

score 114 · Answer 5 · 2013-10-13 01:36:38

114

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Linear operators over rational coefficients

Published on 13 Oct 2013 - 1:36

score 827 · Answer 6 · 2026-04-05 17:18:17

827

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Question on a subset $S$ of $[0,1]\times[0,1]$ where for each $(x,y)\in S$ at least one of $x$ and $y$ is irrational

Published on 05 Apr 2026 - 17:18

score 699 · Answer 7 · 2013-10-14 03:53:28

699

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supremum of rational numbers true or false

Published on 14 Oct 2013 - 3:53

score 84 · Answer 8 · 2026-03-29 21:02:45

84

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For any $a \in \mathbb R$ and any $n \in \mathbb N^+$ there exists $q \in \mathbb Q$ such that $|a-q|< \frac{1}{n}$.

Published on 29 Mar 2026 - 21:02

score 23.5k · Answer 9 · 2026-03-28 14:55:02

23.5k

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what's the difference between a rational number and an irrational number?

Published on 28 Mar 2026 - 14:55

score 9.8k · Answer 10 · 2013-10-17 01:23:53

9.8k

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Prove that $x^3 + x^2 = 1$ has no rational solutions?

Published on 17 Oct 2013 - 1:23

score 391 · Answer 11 · 2026-03-27 07:50:23

391

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Is $\frac{\zeta (m+n)}{\zeta (m)\zeta (n)}$ a rational number for $m,n\ge 2\in\mathbb N$?

Published on 27 Mar 2026 - 7:50

score 1.4k · Answer 12 · 2026-03-28 10:32:30

1.4k

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Is $\{\tan(x) : x\in \mathbb{Q}\}$ a group under addition?

Published on 28 Mar 2026 - 10:32

score 1.2k · Answer 13 · 2013-10-24 02:23:03

1.2k

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Does the set of rational numbers between 0 and 2 have the least upper bound property?

Published on 24 Oct 2013 - 2:23

score 5.9k · Answer 14 · 2013-10-28 06:22:45

5.9k

Views

Show that the integers have infinite index in the additive group of rational numbers.

Published on 28 Oct 2013 - 6:22

score 2.7k · Answer 15 · 2013-10-28 14:26:46

2.7k

Views

Order preserving bijection from $\mathbb Q\times \mathbb Q$ to $\mathbb Q$

Published on 28 Oct 2013 - 14:26

List Question

Are there infinitely many natural numbers whose square root is rational?

Is there a bijection between $\mathbb{Q}$ and $\mathbb{Q}_{>0}$?

Proving supremum for non-empty, bounded subsets of Q iff supremum in R is rational

Prove that x is rational

Linear operators over rational coefficients

Question on a subset $S$ of $[0,1]\times[0,1]$ where for each $(x,y)\in S$ at least one of $x$ and $y$ is irrational

supremum of rational numbers true or false

For any $a \in \mathbb R$ and any $n \in \mathbb N^+$ there exists $q \in \mathbb Q$ such that $|a-q|< \frac{1}{n}$.

what's the difference between a rational number and an irrational number?

Prove that $x^3 + x^2 = 1$ has no rational solutions?

Is $\frac{\zeta (m+n)}{\zeta (m)\zeta (n)}$ a rational number for $m,n\ge 2\in\mathbb N$?

Is $\{\tan(x) : x\in \mathbb{Q}\}$ a group under addition?

Does the set of rational numbers between 0 and 2 have the least upper bound property?

Show that the integers have infinite index in the additive group of rational numbers.

Order preserving bijection from $\mathbb Q\times \mathbb Q$ to $\mathbb Q$

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