List questions from nested-radicals

Published on 02 Oct 2017 - 12:50

315

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Solve: $\sqrt{x + 3 + \sqrt{x + 14}} + \sqrt{x+3 - \sqrt{x + 14}} =4 $

Published on 16 Oct 2017 - 13:09

428

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Find $x\in \Bbb R,$ solving $x=\sqrt{1+\sqrt{1+\sqrt{1+x}}}$

Published on 19 Oct 2017 - 13:34

190

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How to denest these radicals?

Published on 23 Oct 2017 - 14:43

617

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How to solve $\sqrt{x} + \sqrt{x-\sqrt{1-x}} = 1$

Published on 23 Oct 2017 - 18:34

731

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Prove or disprove : $\sqrt{1 + \sqrt{4+\sqrt{16+\sqrt{256...}}}} = \sqrt{2+\sqrt{5}}$

Published on 27 Oct 2017 - 9:32

112

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Is there an infinite product like this for $\cos x$?

Published on 01 Nov 2017 - 16:51

97

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An approximation for an integral involving nested radicals and logarithms

Published on 02 Nov 2017 - 9:42

123

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Question related to the simplification of a nested radical $\sqrt[n]{\frac{\sqrt[n]{a}}{a^2}\dots}$

Published on 17 Nov 2017 - 16:50

5.1k

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Simplify: $\sqrt{9-6\sqrt{2}}+\sqrt{9+6\sqrt{2}}$

Published on 17 Nov 2017 - 22:23

147

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Nested radicals; $\lim\limits_{x \to \infty}{}\sqrt{x+\sqrt{x+\sqrt{x}}} - \sqrt{x}$

Published on 27 Nov 2017 - 18:24

51

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3 square roots in side each other equation :

Published on 05 Dec 2017 - 15:21

229

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Variables inside nested radicals

Published on 12 Dec 2017 - 10:11

112

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An asymptotic formula for a nested radical

Published on 17 Dec 2017 - 18:24

98

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$f(n)=\sqrt{2n+1+2\sqrt{n^2+n}}$, $\frac{1}{f(1)}+\frac{1}{f(2)}+\frac{1}{f(3)}+\dots+\frac{1}{f(99)}$

Published on 20 Dec 2017 - 6:01

List Question

Decide if denesting is at all possible

Solve: $\sqrt{x + 3 + \sqrt{x + 14}} + \sqrt{x+3 - \sqrt{x + 14}} =4 $

Find $x\in \Bbb R,$ solving $x=\sqrt{1+\sqrt{1+\sqrt{1+x}}}$

How to denest these radicals?

How to solve $\sqrt{x} + \sqrt{x-\sqrt{1-x}} = 1$

Prove or disprove : $\sqrt{1 + \sqrt{4+\sqrt{16+\sqrt{256...}}}} = \sqrt{2+\sqrt{5}}$

Is there an infinite product like this for $\cos x$?

An approximation for an integral involving nested radicals and logarithms

Question related to the simplification of a nested radical $\sqrt[n]{\frac{\sqrt[n]{a}}{a^2}\dots}$

Simplify: $\sqrt{9-6\sqrt{2}}+\sqrt{9+6\sqrt{2}}$

Nested radicals; $\lim\limits_{x \to \infty}{}\sqrt{x+\sqrt{x+\sqrt{x}}} - \sqrt{x}$

3 square roots in side each other equation :

Variables inside nested radicals

An asymptotic formula for a nested radical

$f(n)=\sqrt{2n+1+2\sqrt{n^2+n}}$, $\frac{1}{f(1)}+\frac{1}{f(2)}+\frac{1}{f(3)}+\dots+\frac{1}{f(99)}$

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