Question

Limit of a piecewise function defined by x being rational or irrational

score 217 · Answer 1 · 2022-02-14 14:02:05

217

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Limit of a piecewise function defined by x being rational or irrational

Published on 14 Feb 2022 - 14:02

score 33 · Answer 2 · 2022-02-19 10:21:53

33

Views

Question about irrational numbers and finite subsequences of their decimal places.

Published on 19 Feb 2022 - 10:21

score 39 · Answer 3 · 2022-02-19 11:59:26

39

Views

Seeking clarification about another question concerning irrational numbers.

Published on 19 Feb 2022 - 11:59

score 73 · Answer 4 · 2022-02-23 15:50:42

73

Views

Show that it is impossible to find $a,b \in \mathbb{Q}$ such that $ \frac{\sqrt{5}}{10}=a+b \frac{\sqrt{3}}{7} $

Published on 23 Feb 2022 - 15:50

score 39 · Answer 5 · 2022-02-23 17:14:32

39

Views

Proof that either one of two expressions is always irrational

Published on 23 Feb 2022 - 17:14

score 101 · Answer 6 · 2022-02-23 18:36:37

101

Views

Proof that four values have to be rational

Published on 23 Feb 2022 - 18:36

score 66 · Answer 7 · 2022-02-24 18:40:55

66

Views

Prove that any real non negative number can be expresed in golden ratio base using only 1 and 0

Published on 24 Feb 2022 - 18:40

score 161 · Answer 8 · 2026-03-26 13:30:14

161

Views

Simplification of $\frac{2\sqrt{21}-\sqrt{35}+5\sqrt{15}-16}{\sqrt7+2\sqrt5-\sqrt3}$

Published on 26 Mar 2026 - 13:30

score 52 · Answer 9 · 2026-03-27 21:20:38

52

Views

Non-periodic continued fraction with explicitly known convergents?

Published on 27 Mar 2026 - 21:20

score 142 · Answer 10 · 2022-03-01 03:49:30

142

Views

Alternative proof that $\sqrt{2}$ is irrational.

Published on 01 Mar 2022 - 3:49

score 102 · Answer 11 · 2022-03-02 21:52:32

102

Views

Spivak, Chapter 8 "Least Upper Bounds", Problem 5c: for $r<s$ rational numbers, prove there is irrational number between $r$ and $s$?

Published on 02 Mar 2022 - 21:52

score 91 · Answer 12 · 2022-03-04 23:51:34

Proving that a certain set is dense using a useful characterization of the irrational numbers. (Based on Chapter 4 Exercise 25 (b) Baby Rudin)

score 44 · Answer 13 · 2026-03-29 20:56:35

44

Views

Is the ratio of the perimeter of any shape with circular curves to its diameter result in an irrational number?

Published on 29 Mar 2026 - 20:56

score 584 · Answer 14 · 2022-03-21 11:32:48

584

Views

Correlation between $\sqrt{1/10}$ and length of powers of integers.

Published on 21 Mar 2022 - 11:32

score 94 · Answer 15 · 2022-03-21 17:10:58

94

Views

Irrationality Result

Published on 21 Mar 2022 - 17:10

List Question

Limit of a piecewise function defined by x being rational or irrational

Question about irrational numbers and finite subsequences of their decimal places.

Seeking clarification about another question concerning irrational numbers.

Show that it is impossible to find $a,b \in \mathbb{Q}$ such that $ \frac{\sqrt{5}}{10}=a+b \frac{\sqrt{3}}{7} $

Proof that either one of two expressions is always irrational

Proof that four values have to be rational

Prove that any real non negative number can be expresed in golden ratio base using only 1 and 0

Simplification of $\frac{2\sqrt{21}-\sqrt{35}+5\sqrt{15}-16}{\sqrt7+2\sqrt5-\sqrt3}$

Non-periodic continued fraction with explicitly known convergents?

Alternative proof that $\sqrt{2}$ is irrational.

Spivak, Chapter 8 "Least Upper Bounds", Problem 5c: for $r<s$ rational numbers, prove there is irrational number between $r$ and $s$?

Proving that a certain set is dense using a useful characterization of the irrational numbers. (Based on Chapter 4 Exercise 25 (b) Baby Rudin)

Is the ratio of the perimeter of any shape with circular curves to its diameter result in an irrational number?

Correlation between $\sqrt{1/10}$ and length of powers of integers.

Irrationality Result

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