Question

Proving there are no rational cubic roots between two $f^3$ and $(f+1)^3$

score 74 · Answer 1 · 2023-05-18 23:47:18

74

Views

Proving there are no rational cubic roots between two $f^3$ and $(f+1)^3$

Published on 18 May 2023 - 23:47

score 56 · Answer 2 · 2023-05-20 20:14:22

56

Views

Can a logarithm be written as a power using only rational numbers?

Published on 20 May 2023 - 20:14

score 106 · Answer 3 · 2023-05-29 22:53:14

106

Views

Does simple proof of the irrationality of $\sqrt{2}$ extend to $\sqrt{n}$, where $n$ is square-free?

Published on 29 May 2023 - 22:53

score 108 · Answer 4 · 2026-03-27 19:53:14

108

Views

Is $\sum_{n=1}^\infty\Gamma(n)/n^n$ demonstrably irrational?

Published on 27 Mar 2026 - 19:53

score 34 · Answer 5 · 2023-06-08 03:44:13

34

Views

Intersection of translations of irrationals

Published on 08 Jun 2023 - 3:44

score 1.6k · Answer 6 · 2023-06-15 19:18:45

1.6k

Views

What's the "simplest" equation with only rational coefficients that produces a graph with no two rational coordinates

Published on 15 Jun 2023 - 19:18

score 50 · Answer 7 · 2023-06-18 00:37:45

50

Views

How can two irrational numbers add to a rational number when each doesn't have an irrational part that can simply cancel out?

Published on 18 Jun 2023 - 0:37

score 86 · Answer 8 · 2023-06-19 19:48:40

86

Views

Name for rational connection between irrational numbers

Published on 19 Jun 2023 - 19:48

score 70 · Answer 9 · 2026-03-27 11:24:35

70

Views

Does an algebraic irrational number always have all digits from the base?

Published on 27 Mar 2026 - 11:24

score 283 · Answer 10 · 2023-06-27 05:08:55

283

Views

Let $a$ and $b$ be rationals. Prove that if $a<b$ then there exists an irrational $x$ such that $a<x<b$.

Published on 27 Jun 2023 - 5:08

score 136 · Answer 11 · 2023-06-27 10:11:28

136

Views

Is the decimal $0.1....1$ with $1$ in every $10^i$ an irrational or a rational number?

Published on 27 Jun 2023 - 10:11

score 114 · Answer 12 · 2023-06-27 12:07:08

114

Views

Problem in the proof of root 2 is irrational

Published on 27 Jun 2023 - 12:07

score 27 · Answer 13 · 2023-06-30 13:56:36

27

Views

Kodaira Kunihiko's exercise problem.

Published on 30 Jun 2023 - 13:56

score 80 · Answer 14 · 2023-07-04 22:01:20

80

Views

Is this a valid way of showing that there are uncountably many irrational numbers?

Published on 04 Jul 2023 - 22:01

score 963 · Answer 15 · 2023-07-16 10:41:35

963

Views

Proving that the ratio of the hypotenuse of an isosceles right triangle to the leg is irrational

Published on 16 Jul 2023 - 10:41

List Question

Proving there are no rational cubic roots between two $f^3$ and $(f+1)^3$

Can a logarithm be written as a power using only rational numbers?

Does simple proof of the irrationality of $\sqrt{2}$ extend to $\sqrt{n}$, where $n$ is square-free?

Is $\sum_{n=1}^\infty\Gamma(n)/n^n$ demonstrably irrational?

Intersection of translations of irrationals

What's the "simplest" equation with only rational coefficients that produces a graph with no two rational coordinates

How can two irrational numbers add to a rational number when each doesn't have an irrational part that can simply cancel out?

Name for rational connection between irrational numbers

Does an algebraic irrational number always have all digits from the base?

Let $a$ and $b$ be rationals. Prove that if $a<b$ then there exists an irrational $x$ such that $a<x<b$.

Is the decimal $0.1....1$ with $1$ in every $10^i$ an irrational or a rational number?

Problem in the proof of root 2 is irrational

Kodaira Kunihiko's exercise problem.

Is this a valid way of showing that there are uncountably many irrational numbers?

Proving that the ratio of the hypotenuse of an isosceles right triangle to the leg is irrational

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