Question

Integer value of the given radical: $\sqrt{2+\sqrt{5}-\sqrt{6-3\sqrt{5}+\sqrt{14-6\sqrt{5}}}}$

score 190 · Answer 1 · 2016-02-12 09:14:01

190

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Integer value of the given radical: $\sqrt{2+\sqrt{5}-\sqrt{6-3\sqrt{5}+\sqrt{14-6\sqrt{5}}}}$

Published on 12 Feb 2016 - 9:14

score 559 · Answer 2 · 2016-02-16 00:01:32

559

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How to solve $ \sqrt{x^2 +\sqrt{4x^2 +\sqrt{16x^2+ \sqrt{64x^2+\dotsb} } } } =5\,$?

Published on 16 Feb 2016 - 0:01

score 784 · Answer 3 · 2016-02-16 10:42:49

784

Views

Value of the product: $ \sqrt{2} \sqrt{2 - \sqrt{2}} \sqrt{2 - \sqrt{2 - \sqrt{2}}} \sqrt{2 - \sqrt{2 - \sqrt{2-\sqrt{2}}}} \cdots $ =?

Published on 16 Feb 2016 - 10:42

score 1k · Answer 4 · 2016-02-17 07:38:40

1k

Views

Determine $x$ such that $\lim\limits_{n\to\infty} \sqrt{1+\sqrt{x+\sqrt{x^2…+\sqrt{x^n}}}} = 2$

Published on 17 Feb 2016 - 7:38

score 519 · Answer 5 · 2026-03-28 21:25:57

519

Views

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score 173 · Answer 6 · 2016-02-21 11:59:54

173

Views

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Published on 21 Feb 2016 - 11:59

score 250 · Answer 7 · 2016-02-21 16:46:49

250

Views

Ramanujan's infinitely nested radical clarification

Published on 21 Feb 2016 - 16:46

score 2.8k · Answer 8 · 2026-03-28 21:27:11

2.8k

Views

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score 532 · Answer 9 · 2026-03-29 05:43:03

532

Views

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score 778 · Answer 10 · 2016-03-05 03:49:42

778

Views

Nested radical $\sqrt{x+\sqrt{x^2+\cdots\sqrt{x^n+\cdots}}}$

Published on 05 Mar 2016 - 3:49

score 307 · Answer 11 · 2016-03-05 14:56:03

307

Views

$1=\lim_{n \to 0} \sqrt{n+\sqrt{n+\sqrt{n+ \ldots}}}$

Published on 05 Mar 2016 - 14:56

score 831 · Answer 12 · 2016-03-07 01:21:33

831

Views

Multiple Nested Radicals

Published on 07 Mar 2016 - 1:21

score 470 · Answer 13 · 2016-03-13 08:04:35

470

Views

How to simplify the nested radical $\sqrt{1 - \frac{\sqrt{3}}{2}}$ by hand?

Published on 13 Mar 2016 - 8:04

score 396 · Answer 14 · 2026-03-26 19:37:47

396

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Published on 26 Mar 2026 - 19:37

score 582 · Answer 15 · 2026-03-28 21:27:09

582

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Infinite nested radical and infinite continued fractions

Published on 28 Mar 2026 - 21:27

List Question

Integer value of the given radical: $\sqrt{2+\sqrt{5}-\sqrt{6-3\sqrt{5}+\sqrt{14-6\sqrt{5}}}}$

How to solve $ \sqrt{x^2 +\sqrt{4x^2 +\sqrt{16x^2+ \sqrt{64x^2+\dotsb} } } } =5\,$?

Value of the product: $ \sqrt{2} \sqrt{2 - \sqrt{2}} \sqrt{2 - \sqrt{2 - \sqrt{2}}} \sqrt{2 - \sqrt{2 - \sqrt{2-\sqrt{2}}}} \cdots $ =?

Determine $x$ such that $\lim\limits_{n\to\infty} \sqrt{1+\sqrt{x+\sqrt{x^2…+\sqrt{x^n}}}} = 2$

Nested Radicals and Continued Fractions

Infinitely nested radical question

Ramanujan's infinitely nested radical clarification

Compare five ways of solving cubic equation by iterations (nested expressions)

Proving Infinite Nested Radical

Nested radical $\sqrt{x+\sqrt{x^2+\cdots\sqrt{x^n+\cdots}}}$

$1=\lim_{n \to 0} \sqrt{n+\sqrt{n+\sqrt{n+ \ldots}}}$

Multiple Nested Radicals

How to simplify the nested radical $\sqrt{1 - \frac{\sqrt{3}}{2}}$ by hand?

Infinitely nested radical expansions for real numbers

Infinite nested radical and infinite continued fractions

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