Question

Prove or disprove a claim regarding irrational numbers

score 334 · Answer 1 · 2026-03-27 14:45:24

334

Views

Prove or disprove a claim regarding irrational numbers

Published on 27 Mar 2026 - 14:45

score 22 · Answer 2 · 2021-10-25 10:59:06

22

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What could be an element that fulfills the given criteria?

Published on 25 Oct 2021 - 10:59

score 73 · Answer 3 · 2021-10-31 22:57:33

73

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Determine whether a set is dense in $\mathbb{R}$

Published on 31 Oct 2021 - 22:57

score 83 · Answer 4 · 2021-11-08 14:09:20

83

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If a series is convergent and contains only irrational numbers, does the limit also have to be irrational?

Published on 08 Nov 2021 - 14:09

score 51 · Answer 5 · 2021-11-10 14:41:46

51

Views

Is there a proof that logarithm whose anti-logarithm is not a natural power of the base is not a rational number?

Published on 10 Nov 2021 - 14:41

score 64 · Answer 6 · 2021-11-10 17:52:09

64

Views

Rudin-Principles of Mathematical Analysis; pg. 2 [step (3) of a demonstration]

Published on 10 Nov 2021 - 17:52

score 124 · Answer 7 · 2026-04-02 14:43:01

124

Views

Finding an infinite set of irrational numbers between two given numbers.

Published on 02 Apr 2026 - 14:43

score 652 · Answer 8 · 2021-11-16 16:08:38

652

Views

Does this sequence $\,\sqrt[n]{1+\cos2n}\,$ have a limit?

Published on 16 Nov 2021 - 16:08

score 80 · Answer 9 · 2021-11-18 19:22:28

80

Views

Distinct integer solutions to linear equations involving irrational numbers

Published on 18 Nov 2021 - 19:22

score 123 · Answer 10 · 2021-11-24 14:55:13

123

Views

Fractional part of the product of a factorial tending to infinity and of an irrational number

Published on 24 Nov 2021 - 14:55

score 154 · Answer 11 · 2026-03-27 14:58:38

154

Views

Hurwitz's theorem for Diophantine approximation

Published on 27 Mar 2026 - 14:58

score 104 · Answer 12 · 2021-11-26 17:31:19

104

Views

Let $n,m\in N0$ and $\sqrt{n}\not\in Q.$ Show that $\sqrt{n} + \sqrt{m}\not\in Q$

Published on 26 Nov 2021 - 17:31

score 219 · Answer 13 · 2021-12-05 12:30:21

219

Views

Is there a way to prove $\pi$ is irrational using any of its infinite series?

Published on 05 Dec 2021 - 12:30

score 60 · Answer 14 · 2021-12-08 10:30:56

60

Views

Prove that $\sqrt{x+2} + \sqrt{2x-2} + \sqrt{9-3x} < 3\sqrt{3}$

Published on 08 Dec 2021 - 10:30

score 71 · Answer 15 · 2026-04-05 12:08:35

71

Views

Show that $f^{(j)}(\pi)$ and $f^{(j)}(0)$ are integers.

Published on 05 Apr 2026 - 12:08

List Question

Prove or disprove a claim regarding irrational numbers

What could be an element that fulfills the given criteria?

Determine whether a set is dense in $\mathbb{R}$

If a series is convergent and contains only irrational numbers, does the limit also have to be irrational?

Is there a proof that logarithm whose anti-logarithm is not a natural power of the base is not a rational number?

Rudin-Principles of Mathematical Analysis; pg. 2 [step (3) of a demonstration]

Finding an infinite set of irrational numbers between two given numbers.

Does this sequence $\,\sqrt[n]{1+\cos2n}\,$ have a limit?

Distinct integer solutions to linear equations involving irrational numbers

Fractional part of the product of a factorial tending to infinity and of an irrational number

Hurwitz's theorem for Diophantine approximation

Let $n,m\in N0$ and $\sqrt{n}\not\in Q.$ Show that $\sqrt{n} + \sqrt{m}\not\in Q$

Is there a way to prove $\pi$ is irrational using any of its infinite series?

Prove that $\sqrt{x+2} + \sqrt{2x-2} + \sqrt{9-3x} < 3\sqrt{3}$

Show that $f^{(j)}(\pi)$ and $f^{(j)}(0)$ are integers.

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