Question

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

score 402 · Answer 1 · 2019-07-20 11:52:50

402

Views

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

Published on 20 Jul 2019 - 11:52

score 220 · Answer 2 · 2019-07-21 10:12:37

220

Views

Can we deduce two contradictory statements from a wrong statement?

Published on 21 Jul 2019 - 10:12

score 200 · Answer 3 · 2019-07-23 16:28:45

200

Views

A problem about lcm and irrational number

Published on 23 Jul 2019 - 16:28

score 119 · Answer 4 · 2026-03-25 20:19:46

119

Views

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

Published on 25 Mar 2026 - 20:19

score 640 · Answer 5 · 2026-03-26 07:58:57

640

Views

Are there infinite πth roots of unity?

Published on 26 Mar 2026 - 7:58

score 184 · Answer 6 · 2019-07-26 18:15:01

184

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 26 Jul 2019 - 18:15

score 188 · Answer 7 · 2019-07-28 15:01:04

188

Views

Issues in Proof of conjugate irrational roots.

Published on 28 Jul 2019 - 15:01

score 750 · Answer 8 · 2026-03-29 04:26:19

750

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 29 Mar 2026 - 4:26

score 144 · Answer 9 · 2019-08-02 11:40:43

144

Views

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

Published on 02 Aug 2019 - 11:40

score 97 · Answer 10 · 2026-03-28 06:10:22

97

Views

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

Published on 28 Mar 2026 - 6:10

score 313 · Answer 11 · 2026-03-29 04:34:09

313

Views

Limit approaching 0 of a rational defined function

Published on 29 Mar 2026 - 4:34

score 127 · Answer 12 · 2026-03-28 11:34:18

127

Views

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

Published on 28 Mar 2026 - 11:34

score 2.2k · Answer 13 · 2019-08-06 17:14:14

2.2k

Views

Proof square root of 4 is not irrational.

Published on 06 Aug 2019 - 17:14

score 86 · Answer 14 · 2019-08-06 20:37:47

86

Views

An intriguing recursion

Published on 06 Aug 2019 - 20:37

score 217 · Answer 15 · 2026-03-29 04:26:20

217

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 29 Mar 2026 - 4:26

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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