List questions from nested-radicals

Published on 25 Mar 2026 - 22:03

136

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General inequality and infinite series

Published on 03 Oct 2016 - 8:31

83

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Denesting a nested radical where $x,y\in\mathbb{Z}$

Published on 04 Oct 2016 - 23:13

2.9k

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How can the surd $\sqrt{2-\sqrt{3}}$ be expressed?

Published on 05 Oct 2016 - 11:22

222

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Find all non-real values of $x$ if $x^3+1/x^3=110$

Published on 09 Oct 2016 - 5:09

454

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Formula for $\sqrt{a-\sqrt{a+\sqrt{a+\ldots}}}$

Published on 15 Oct 2016 - 3:50

710

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Any other cases similar to $\sqrt[4]{\frac {3+2\sqrt[4]{5}}{3-2\sqrt[4]{5}}}=\frac 12 (3+\sqrt[4]{5}+\sqrt{5}+\sqrt[4]{125})$

Published on 18 Oct 2016 - 18:06

81

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Solving radical questions

Published on 22 Oct 2016 - 10:05

137

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calculate the limit for $\sqrt{1 + \sqrt{2 + \sqrt{1 + \sqrt{2 + ......}}}}$

Published on 30 Oct 2016 - 1:43

72

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Is it inequality true

Published on 25 Mar 2026 - 4:35

2.3k

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Value of $\sin(\pi/18)$ by nested radicals

Published on 05 Nov 2016 - 23:42

128

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Prove this relation for nested radicals

Published on 06 Nov 2016 - 12:14

629

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simplify $\sqrt{(45+4\sqrt{41})^3}-\sqrt{(45-4\sqrt{41})^3}$

Published on 06 Nov 2016 - 17:03

145

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A question about a limit involving nested radicals

Published on 07 Nov 2016 - 11:27

133

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Closed form expression to a nested radical formula

Published on 16 Nov 2016 - 1:04

List Question

Why $\sqrt[3]{{2 + \sqrt 5 }} + \sqrt[3]{{2 - \sqrt 5 }}$ is a rational number?

General inequality and infinite series

Denesting a nested radical where $x,y\in\mathbb{Z}$

How can the surd $\sqrt{2-\sqrt{3}}$ be expressed?

Find all non-real values of $x$ if $x^3+1/x^3=110$

Formula for $\sqrt{a-\sqrt{a+\sqrt{a+\ldots}}}$

Any other cases similar to $\sqrt[4]{\frac {3+2\sqrt[4]{5}}{3-2\sqrt[4]{5}}}=\frac 12 (3+\sqrt[4]{5}+\sqrt{5}+\sqrt[4]{125})$

Solving radical questions

calculate the limit for $\sqrt{1 + \sqrt{2 + \sqrt{1 + \sqrt{2 + ......}}}}$

Is it inequality true

Value of $\sin(\pi/18)$ by nested radicals

Prove this relation for nested radicals

simplify $\sqrt{(45+4\sqrt{41})^3}-\sqrt{(45-4\sqrt{41})^3}$

A question about a limit involving nested radicals

Closed form expression to a nested radical formula

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