Question

Examples of diagonal line segments in $\mathbb{R}^2$ that contain no rational points?

score 383 · Answer 1 · 2017-07-14 01:14:39

383

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Examples of diagonal line segments in $\mathbb{R}^2$ that contain no rational points?

Published on 14 Jul 2017 - 1:14

score 1.2k · Answer 2 · 2026-04-03 03:21:03

1.2k

Views

Are all irrational numbers also normal numbers (probability of each decimal is equal)?

Published on 03 Apr 2026 - 3:21

score 128 · Answer 3 · 2026-03-27 04:38:23

128

Views

For which $a\in\Bbb R^+$ is $\{1,a, a^a, a^{a^a},...\}$ linearly independent over $\Bbb Z$?

Published on 27 Mar 2026 - 4:38

score 426 · Answer 4 · 2017-07-19 12:55:26

426

Views

Is $\sum\limits_n\frac{1}{2^{n}-1}$ irrational?

Published on 19 Jul 2017 - 12:55

score 2.6k · Answer 5 · 2017-07-22 08:20:33

2.6k

Views

Polynomial having rational coefficients and one root: $\sqrt{2}+\sqrt{3}-\sqrt{5}$

Published on 22 Jul 2017 - 8:20

score 548 · Answer 6 · 2017-07-22 14:55:58

548

Views

When is Morrie's Law a rational number

Published on 22 Jul 2017 - 14:55

score 88 · Answer 7 · 2017-07-25 09:38:59

88

Views

Does $x^y, y^x \in \mathbb{Q}, x\neq y$ imply $x, y \in \mathbb{Q}$?

Published on 25 Jul 2017 - 9:38

score 741 · Answer 8 · 2017-07-27 17:53:07

741

Views

Prove an infinite sum is irrational

Published on 27 Jul 2017 - 17:53

score 237 · Answer 9 · 2026-03-29 03:21:39

237

Views

Is there a base (besides base 0) that cannot represent all rational numbers?

Published on 29 Mar 2026 - 3:21

score 394 · Answer 10 · 2017-07-28 16:06:45

394

Views

Questions about Spivak's proof that $\sqrt{2} + \sqrt[3]{2}$ is irrational

Published on 28 Jul 2017 - 16:06

score 1.6k · Answer 11 · 2017-07-30 00:28:51

1.6k

Views

Prove $ \sqrt{2k}$ is irrational where $ k$ is an odd integer.

Published on 30 Jul 2017 - 0:28

score 919 · Answer 12 · 2017-07-30 03:53:27

919

Views

Can someone tell me if my proof about irrational ^ irrational = rational is valid?

Published on 30 Jul 2017 - 3:53

score 646 · Answer 13 · 2017-08-04 16:56:52

646

Views

sum of rational terms in $\left(\sqrt{2}+\sqrt{27}+\sqrt{180}\right)^{10}$

Published on 04 Aug 2017 - 16:56

score 434 · Answer 14 · 2017-08-05 07:49:02

434

Views

Partitioning the irrational numbers in a special way

Published on 05 Aug 2017 - 7:49

score 304 · Answer 15 · 2017-08-13 12:48:30

304

Views

Prove that $\sqrt{12 x^3-3}$ is irrational

Published on 13 Aug 2017 - 12:48

List Question

Examples of diagonal line segments in $\mathbb{R}^2$ that contain no rational points?

Are all irrational numbers also normal numbers (probability of each decimal is equal)?

For which $a\in\Bbb R^+$ is $\{1,a, a^a, a^{a^a},...\}$ linearly independent over $\Bbb Z$?

Is $\sum\limits_n\frac{1}{2^{n}-1}$ irrational?

Polynomial having rational coefficients and one root: $\sqrt{2}+\sqrt{3}-\sqrt{5}$

When is Morrie's Law a rational number

Does $x^y, y^x \in \mathbb{Q}, x\neq y$ imply $x, y \in \mathbb{Q}$?

Prove an infinite sum is irrational

Is there a base (besides base 0) that cannot represent all rational numbers?

Questions about Spivak's proof that $\sqrt{2} + \sqrt[3]{2}$ is irrational

Prove $ \sqrt{2k}$ is irrational where $ k$ is an odd integer.

Can someone tell me if my proof about irrational ^ irrational = rational is valid?

sum of rational terms in $\left(\sqrt{2}+\sqrt{27}+\sqrt{180}\right)^{10}$

Partitioning the irrational numbers in a special way

Prove that $\sqrt{12 x^3-3}$ is irrational

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