Question

Set of irrationals between two reals is uncountable

score 3.1k · Answer 1 · 2013-09-30 21:07:56

3.1k

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Set of irrationals between two reals is uncountable

Published on 30 Sep 2013 - 21:07

score 52 · Answer 2 · 2026-04-01 13:47:06

52

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Experimental calculation and $\mathbb{Q}$

Published on 01 Apr 2026 - 13:47

score 935 · Answer 3 · 2026-03-26 13:07:32

935

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Apery's constant

Published on 26 Mar 2026 - 13:07

score 90 · Answer 4 · 2013-10-03 18:06:32

90

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If $a$ and $b$ are rational, then $a + b{\sqrt{2}} \ne {\sqrt{3}} $

Published on 03 Oct 2013 - 18:06

score 122 · Answer 5 · 2013-10-03 19:08:36

122

Views

If $a$ and $b$ are odd integers, then $\sqrt{a^2+b^2}$ is irrational

Published on 03 Oct 2013 - 19:08

score 79 · Answer 6 · 2013-10-07 09:23:12

79

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Prove $k!(e-s_k)$ is irrational.

Published on 07 Oct 2013 - 9:23

score 178 · Answer 7 · 2026-04-02 10:52:38

178

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$f_1, f_2 : \mathbb{R} \rightarrow \mathbb{R}$ nonconstant, continuous, with period $1, \sqrt{2}$, respectively, then $f_1 + f_2$ is not periodic

Published on 02 Apr 2026 - 10:52

score 2.4k · Answer 8 · 2013-10-12 07:14:43

2.4k

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Number of irrational roots of the equation $(x-1)(x-2)(3x-2)(3x+1)=21$?

Published on 12 Oct 2013 - 7:14

score 826 · Answer 9 · 2013-10-14 01:45:20

826

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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 14 Oct 2013 - 1:45

score 1.1k · Answer 10 · 2013-10-14 20:33:39

1.1k

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Why does $(3\sqrt3)^2 = 27$?

Published on 14 Oct 2013 - 20:33

score 23.5k · Answer 11 · 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 665 · Answer 12 · 2026-03-31 14:15:10

665

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What is different ways to prove that $\sqrt p$ is irrational when $p$ is prime?

Published on 31 Mar 2026 - 14:15

score 674 · Answer 13 · 2013-10-18 08:40:08

674

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If $\sqrt[3]{a} + \sqrt[3]{b}$ is rational then prove $\sqrt[3]{a}$ and $\sqrt[3]{b}$ are rational

Published on 18 Oct 2013 - 8:40

score 1.6k · Answer 14 · 2026-03-28 10:27:16

1.6k

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Proof that ${\pi}$ can(not) be expressed as a root or as a root in combination with a fraction

Published on 28 Mar 2026 - 10:27

score 68 · Answer 15 · 2013-10-20 07:15:10

68

Views

algebraically determining if a number is irrational or not

Published on 20 Oct 2013 - 7:15

List Question

Set of irrationals between two reals is uncountable

Experimental calculation and $\mathbb{Q}$

Apery's constant

If $a$ and $b$ are rational, then $a + b{\sqrt{2}} \ne {\sqrt{3}} $

If $a$ and $b$ are odd integers, then $\sqrt{a^2+b^2}$ is irrational

Prove $k!(e-s_k)$ is irrational.

$f_1, f_2 : \mathbb{R} \rightarrow \mathbb{R}$ nonconstant, continuous, with period $1, \sqrt{2}$, respectively, then $f_1 + f_2$ is not periodic

Number of irrational roots of the equation $(x-1)(x-2)(3x-2)(3x+1)=21$?

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

Why does $(3\sqrt3)^2 = 27$?

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

What is different ways to prove that $\sqrt p$ is irrational when $p$ is prime?

If $\sqrt[3]{a} + \sqrt[3]{b}$ is rational then prove $\sqrt[3]{a}$ and $\sqrt[3]{b}$ are rational

Proof that ${\pi}$ can(not) be expressed as a root or as a root in combination with a fraction

algebraically determining if a number is irrational or not

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