List questions from irrational-numbers

Published on 23 Aug 2013 - 15:32

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The Irrationality of 2

Published on 24 Aug 2013 - 10:03

1.3k

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Linear independence of the numbers $\{1,e,e^2,e^3\}$

Published on 28 Mar 2026 - 10:25

1k

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Linear independence of the numbers $\{1,\pi,{\pi}^2\}$

Published on 28 Mar 2026 - 10:29

2.8k

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Sum of two irrational radicals is irrational?

Published on 29 Aug 2013 - 13:41

62

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Boundaries for Specific Sets with Ambient Space $\mathbb{R}$

Published on 01 Sep 2013 - 20:01

11.2k

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How to know that irrational numbers never repeat?

Published on 01 Apr 2026 - 0:22

9.4k

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How to show $\sqrt{4+2\sqrt{3}}-\sqrt{3} = 1$

Published on 03 Sep 2013 - 22:43

10.9k

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Prove that if the sum of two numbers is irrational then at least one of the numbers is irrational.

Published on 04 Sep 2013 - 0:46

63

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What is the rate of decay of $\min\{k\xi-\lfloor k\xi\rfloor|k\in\{1,\dots,n\}\}$, for irrational $\xi$?

Published on 29 Mar 2026 - 11:08

353

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Multiplying by an irrational number in combinatorial problems

Published on 07 Sep 2013 - 21:58

2k

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Pi might contain all finite sets, can it also contain infinite sets?

Published on 02 Apr 2026 - 13:34

10.4k

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How to evaluate $\sqrt{5+2\sqrt{6}}$ + $\sqrt{8-2\sqrt{15}}$?

Published on 30 Mar 2026 - 3:01

408

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Can an irrational always be found by multiplying irrationals?

Published on 14 Sep 2013 - 16:25

2.7k

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Proving that any rational number can be represented as the sum of the cubes of three rational numbers

Published on 15 Sep 2013 - 14:26

List Question

Integer outputs of $y=x^2$ , do their last digits form an irrational?

The Irrationality of 2

Linear independence of the numbers $\{1,e,e^2,e^3\}$

Linear independence of the numbers $\{1,\pi,{\pi}^2\}$

Sum of two irrational radicals is irrational?

Boundaries for Specific Sets with Ambient Space $\mathbb{R}$

How to know that irrational numbers never repeat?

How to show $\sqrt{4+2\sqrt{3}}-\sqrt{3} = 1$

Prove that if the sum of two numbers is irrational then at least one of the numbers is irrational.

What is the rate of decay of $\min\{k\xi-\lfloor k\xi\rfloor|k\in\{1,\dots,n\}\}$, for irrational $\xi$?

Multiplying by an irrational number in combinatorial problems

Pi might contain all finite sets, can it also contain infinite sets?

How to evaluate $\sqrt{5+2\sqrt{6}}$ + $\sqrt{8-2\sqrt{15}}$?

Can an irrational always be found by multiplying irrationals?

Proving that any rational number can be represented as the sum of the cubes of three rational numbers

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