List questions from irrational-numbers

Published on 01 May 2026 - 6:39

257

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Prove that $\sqrt[3]{2} + \sqrt[3]{4}$ is irrational.

Published on 16 Apr 2026 - 4:44

359

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Is $e-1/e$ rational?

Published on 29 Apr 2026 - 20:21

41

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Finding unknowns of an irrational equation .

Published on 08 Apr 2026 - 20:08

132

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How to know when can I use proof by contradiction to prove operations with irrational/rational numbers?

Published on 09 Apr 2026 - 18:08

288

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Irrational Number modulo Prime

Published on 15 Apr 2026 - 11:33

83

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proof that $\mathbb{R}=\mathbb{Q}\cup\mathbb{Q}^{'}$

Published on 15 Apr 2026 - 18:00

237

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An interesting property of nested radicals

Published on 11 Apr 2026 - 2:47

22

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difference between sampling from different number system

Published on 10 May 2026 - 16:07

128

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Arrange irrationals in ascending order:$ 2^{\sqrt{\frac{5}{3}}},3^{\sqrt{\frac{3}{5}}},5^{\sqrt{\frac{4}{15}}},29^{\frac{1}{\sqrt{15}}} $

Published on 17 Apr 2026 - 1:08

101

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If $f$ is a polynomial, is $\{ \sin ( f(n)) \}_{n=1}^{\infty}$ dense in $[-1,1]$?

Published on 16 Apr 2026 - 6:58

46

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What is ⌊x.999...⌋?

Published on 12 Apr 2026 - 7:59

146

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Evaluate $\sqrt{a+b+\sqrt{\left(2ab+b^2\right)}}$

Published on 17 Apr 2026 - 6:20

169

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Rationality of Euler-type Generalised Continued Fraction

Published on 26 Mar 2026 - 21:35

624

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Prove that if $p_1,...,p_k$ are distinct prime numbers, then $\sqrt{p_1p_2...p_k}$ is irrational

Published on 15 Apr 2026 - 19:58

List Question

How far have we got towards proving Catalan's constant is irrational?

Prove that $\sqrt[3]{2} + \sqrt[3]{4}$ is irrational.

Is $e-1/e$ rational?

Finding unknowns of an irrational equation .

How to know when can I use proof by contradiction to prove operations with irrational/rational numbers?

Irrational Number modulo Prime

proof that $\mathbb{R}=\mathbb{Q}\cup\mathbb{Q}^{'}$

An interesting property of nested radicals

difference between sampling from different number system

Arrange irrationals in ascending order:$ 2^{\sqrt{\frac{5}{3}}},3^{\sqrt{\frac{3}{5}}},5^{\sqrt{\frac{4}{15}}},29^{\frac{1}{\sqrt{15}}} $

If $f$ is a polynomial, is $\{ \sin ( f(n)) \}_{n=1}^{\infty}$ dense in $[-1,1]$?

What is ⌊x.999...⌋?

Evaluate $\sqrt{a+b+\sqrt{\left(2ab+b^2\right)}}$

Rationality of Euler-type Generalised Continued Fraction

Prove that if $p_1,...,p_k$ are distinct prime numbers, then $\sqrt{p_1p_2...p_k}$ is irrational

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