Question

Does the absence of horizontal lines shows that there are no $n,m\in \mathbb{N}$ such that $n^2=2m^2$?

score 63 · Answer 1 · 2014-07-11 19:22:07

63

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Does the absence of horizontal lines shows that there are no $n,m\in \mathbb{N}$ such that $n^2=2m^2$?

Published on 11 Jul 2014 - 19:22

score 111 · Answer 2 · 2026-03-25 18:24:42

111

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How to find irrational approximates

Published on 25 Mar 2026 - 18:24

score 1.2k · Answer 3 · 2026-03-29 03:21:35

1.2k

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Using decimals of $\pi$ to store data

Published on 29 Mar 2026 - 3:21

score 391 · Answer 4 · 2014-07-15 03:32:45

391

Views

Are there any non-trivial counterexamples to the non-closure of the irrational numbers over addition?

Published on 15 Jul 2014 - 3:32

score 3.2k · Answer 5 · 2014-07-16 11:27:17

3.2k

Views

Dimension of $\Bbb R$ over $\Bbb Q$ without cardinality argument.

Published on 16 Jul 2014 - 11:27

score 712 · Answer 6 · 2026-03-28 13:28:07

712

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Definition of Rational/ Irrational Numbers reguarding denominators

Published on 28 Mar 2026 - 13:28

score 5.8k · Answer 7 · 2014-07-28 00:56:51

5.8k

Views

The sum of two irrational square roots

Published on 28 Jul 2014 - 0:56

score 197 · Answer 8 · 2014-07-28 16:04:06

197

Views

The set $E= \{x\in [0,1]: \sum_{j=1}^\infty t^j|x−q_j|^{-r} <\infty\}$ does not contain all irrational numbers in $[0,1]$

Published on 28 Jul 2014 - 16:04

score 1.3k · Answer 9 · 2014-07-31 14:17:42

1.3k

Views

Deciding whether a number is rational (2 examples)

Published on 31 Jul 2014 - 14:17

score 165 · Answer 10 · 2014-08-05 12:29:26

165

Views

The minimum number of digits after the floating-point, which uniquely identify every irrational square root

Published on 05 Aug 2014 - 12:29

score 847 · Answer 11 · 2026-03-26 04:32:31

847

Views

$x+y\sqrt{2}$ infimum ($x,y\in \mathbb{Z}$)

Published on 26 Mar 2026 - 4:32

score 1.1k · Answer 12 · 2014-08-08 07:47:18

1.1k

Views

Proof that $\sqrt[m]{a} + \sqrt[n]{b}$ is irrational

Published on 08 Aug 2014 - 7:47

score 365 · Answer 13 · 2014-08-10 11:29:44

365

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Help With a proof (Irrational Number)

Published on 10 Aug 2014 - 11:29

score 1.2k · Answer 14 · 2026-03-26 01:09:45

1.2k

Views

Archimedes' Approximation of Square Roots

Published on 26 Mar 2026 - 1:09

score 4.8k · Answer 15 · 2014-08-12 13:00:56

4.8k

Views

Irrational numbers in reality

Published on 12 Aug 2014 - 13:00

List Question

Does the absence of horizontal lines shows that there are no $n,m\in \mathbb{N}$ such that $n^2=2m^2$?

How to find irrational approximates

Using decimals of $\pi$ to store data

Are there any non-trivial counterexamples to the non-closure of the irrational numbers over addition?

Dimension of $\Bbb R$ over $\Bbb Q$ without cardinality argument.

Definition of Rational/ Irrational Numbers reguarding denominators

The sum of two irrational square roots

The set $E= \{x\in [0,1]: \sum_{j=1}^\infty t^j|x−q_j|^{-r} <\infty\}$ does not contain all irrational numbers in $[0,1]$

Deciding whether a number is rational (2 examples)

The minimum number of digits after the floating-point, which uniquely identify every irrational square root

$x+y\sqrt{2}$ infimum ($x,y\in \mathbb{Z}$)

Proof that $\sqrt[m]{a} + \sqrt[n]{b}$ is irrational

Help With a proof (Irrational Number)

Archimedes' Approximation of Square Roots

Irrational numbers in reality

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