Question

A hypergeometric beast: Simple closed-form for combination of $_4F_3(1)$?

score 234 · Answer 1 · 2021-04-23 17:01:53

234

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A hypergeometric beast: Simple closed-form for combination of $_4F_3(1)$?

Published on 23 Apr 2021 - 17:01

score 178 · Answer 2 · 2021-04-24 03:58:58

178

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$\sqrt{2\sqrt{3\sqrt{4.....\infty}}}$

Published on 24 Apr 2021 - 3:58

score 98 · Answer 3 · 2021-05-13 09:01:37

98

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Complex number : mth root of nth root

Published on 13 May 2021 - 9:01

score 494 · Answer 4 · 2021-05-20 15:54:28

494

Views

Denesting Cardano's Formula

Published on 20 May 2021 - 15:54

score 329 · Answer 5 · 2021-05-23 00:37:24

329

Views

When does $r + \sqrt s$ with $r,s \in \mathbb Q$ have a cubic root of the form $u \pm \sqrt v$ with $u,v \in \mathbb Q$?

Published on 23 May 2021 - 0:37

score 154 · Answer 6 · 2021-06-05 05:24:08

154

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Ramanujan's Nested radical Inequality

Published on 05 Jun 2021 - 5:24

score 195 · Answer 7 · 2021-06-07 14:19:15

does this nested radicle converge? $1+\sqrt{1+\sqrt{\dots}+\sqrt{1+\sqrt{\dots}}}+\sqrt{1+\sqrt{1+\sqrt{\dots}+\sqrt{1+\sqrt{\dots}}}}$

score 628 · Answer 8 · 2021-06-22 20:54:51

628

Views

Generalized denesting formula for $\sqrt[3]{A+B\sqrt{C}}$

Published on 22 Jun 2021 - 20:54

score 132 · Answer 9 · 2021-08-05 20:48:29

132

Views

simplify radicals

Published on 05 Aug 2021 - 20:48

score 145 · Answer 10 · 2021-08-21 16:43:21

145

Views

What is the value of the infinite nested radical $\sqrt{0+\sqrt{0+\sqrt{0+\sqrt{\cdots}}}}$?

Published on 21 Aug 2021 - 16:43

score 187 · Answer 11 · 2021-08-29 03:58:24

187

Views

Infinite nested radicals from Putnam exam 1953

Published on 29 Aug 2021 - 3:58

score 60 · Answer 12 · 2021-08-31 06:44:54

60

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Suppose $a_1=1$ and $a_n=\sqrt{n-a_{n-1}}$ $\forall n \in\mathbb{Z_{\ge 2}}$. What is the least integer $n$ for which $a_n>4$? ⌊$a_{100}$⌋?

Published on 31 Aug 2021 - 6:44

score 50 · Answer 13 · 2021-09-10 16:22:56

50

Views

Interrelationship between cyclic infinite nested square roots of 2 and Summation of Geometric progression (partial and infinite)

Published on 10 Sep 2021 - 16:22

score 47 · Answer 14 · 2021-09-11 23:28:28

47

Views

nested radical simplification

Published on 11 Sep 2021 - 23:28

score 281 · Answer 15 · 2026-03-25 11:13:35

281

Views

Solve for $x$ in $\sqrt{x+2\sqrt{x+2\sqrt{x+2\sqrt{3x}}}} = x$

Published on 25 Mar 2026 - 11:13

List Question

A hypergeometric beast: Simple closed-form for combination of $_4F_3(1)$?

$\sqrt{2\sqrt{3\sqrt{4.....\infty}}}$

Complex number : mth root of nth root

Denesting Cardano's Formula

When does $r + \sqrt s$ with $r,s \in \mathbb Q$ have a cubic root of the form $u \pm \sqrt v$ with $u,v \in \mathbb Q$?

Ramanujan's Nested radical Inequality

does this nested radicle converge? $1+\sqrt{1+\sqrt{\dots}+\sqrt{1+\sqrt{\dots}}}+\sqrt{1+\sqrt{1+\sqrt{\dots}+\sqrt{1+\sqrt{\dots}}}}$

Generalized denesting formula for $\sqrt[3]{A+B\sqrt{C}}$

simplify radicals

What is the value of the infinite nested radical $\sqrt{0+\sqrt{0+\sqrt{0+\sqrt{\cdots}}}}$?

Infinite nested radicals from Putnam exam 1953

Suppose $a_1=1$ and $a_n=\sqrt{n-a_{n-1}}$ $\forall n \in\mathbb{Z_{\ge 2}}$. What is the least integer $n$ for which $a_n>4$? ⌊$a_{100}$⌋?

Interrelationship between cyclic infinite nested square roots of 2 and Summation of Geometric progression (partial and infinite)

nested radical simplification

Solve for $x$ in $\sqrt{x+2\sqrt{x+2\sqrt{x+2\sqrt{3x}}}} = x$

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