Question

Proof that $\sqrt{2}$ is irrational is not convincing. Please help.

score 405 · Answer 1 · 2026-04-11 02:30:56

405

Views

Proof that $\sqrt{2}$ is irrational is not convincing. Please help.

Published on 11 Apr 2026 - 2:30

score 223 · Answer 2 · 2026-04-08 21:51:41

223

Views

Can we deduce two contradictory statements from a wrong statement?

Published on 08 Apr 2026 - 21:51

score 203 · Answer 3 · 2026-04-12 11:39:45

203

Views

A problem about lcm and irrational number

Published on 12 Apr 2026 - 11:39

score 120 · Answer 4 · 2026-05-11 09:08:58

120

Views

Show that $\ln(\ln(n))$ is not rational for all integers $n\geq2$

Published on 11 May 2026 - 9:08

score 642 · Answer 5 · 2026-04-09 16:32:04

642

Views

Are there infinite πth roots of unity?

Published on 09 Apr 2026 - 16:32

score 187 · Answer 6 · 2026-04-13 05:15:04

187

Views

Is the Cardinality of irrational numbers in the interval $(0,1)$ equal to Cardinality of real numbers in the interval $(0,1)$?

Published on 13 Apr 2026 - 5:15

score 191 · Answer 7 · 2026-04-14 00:40:22

191

Views

Issues in Proof of conjugate irrational roots.

Published on 14 Apr 2026 - 0:40

score 752 · Answer 8 · 2026-04-13 21:00:20

752

Views

In the proof of irrationality of $\sqrt{2}$ or $\sqrt{7}$, why do the numerator and denominator of a rational number have to be in their lowest term?

Published on 13 Apr 2026 - 21:00

score 147 · Answer 9 · 2026-04-11 02:09:12

147

Views

How can Hadjicostas's formula be used to prove the irrationality of $\zeta(3)$?

Published on 11 Apr 2026 - 2:09

score 99 · Answer 10 · 2026-04-14 00:11:36

99

Views

Spectacular approximation to $\sum_{k=1}^n \{k \log_2 3\}$ where the curly brackets represent the fractional part

Published on 14 Apr 2026 - 0:11

score 315 · Answer 11 · 2026-04-13 08:29:56

315

Views

Limit approaching 0 of a rational defined function

Published on 13 Apr 2026 - 8:29

score 129 · Answer 12 · 2026-04-16 14:24:42

129

Views

Find all natural numbers $n$ such that $\sqrt{n-1}+\sqrt{n+1}$ is rational...

Published on 16 Apr 2026 - 14:24

score 2.2k · Answer 13 · 2026-04-11 14:27:15

2.2k

Views

Proof square root of 4 is not irrational.

Published on 11 Apr 2026 - 14:27

score 89 · Answer 14 · 2026-04-10 01:55:56

89

Views

An intriguing recursion

Published on 10 Apr 2026 - 1:55

score 219 · Answer 15 · 2026-04-16 22:33:09

219

Views

Can $\frac{1}{2a}\left(-b+\sqrt{b^2-4ac}\right)$ be rational if $a=3n_1$, $b=-3n_1^2$, $c=n_1^3-n_2^3$, for positive rational $n_i$ with $n_1<n_2$?

Published on 16 Apr 2026 - 22:33

List Question

Proof that $\sqrt{2}$ is irrational is not convincing. Please help.

Can we deduce two contradictory statements from a wrong statement?

A problem about lcm and irrational number

Show that $\ln(\ln(n))$ is not rational for all integers $n\geq2$

Are there infinite πth roots of unity?

Is the Cardinality of irrational numbers in the interval $(0,1)$ equal to Cardinality of real numbers in the interval $(0,1)$?

Issues in Proof of conjugate irrational roots.

In the proof of irrationality of $\sqrt{2}$ or $\sqrt{7}$, why do the numerator and denominator of a rational number have to be in their lowest term?

How can Hadjicostas's formula be used to prove the irrationality of $\zeta(3)$?

Spectacular approximation to $\sum_{k=1}^n \{k \log_2 3\}$ where the curly brackets represent the fractional part

Limit approaching 0 of a rational defined function

Find all natural numbers $n$ such that $\sqrt{n-1}+\sqrt{n+1}$ is rational...

Proof square root of 4 is not irrational.

An intriguing recursion

Can $\frac{1}{2a}\left(-b+\sqrt{b^2-4ac}\right)$ be rational if $a=3n_1$, $b=-3n_1^2$, $c=n_1^3-n_2^3$, for positive rational $n_i$ with $n_1<n_2$?

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