List questions from nested-radicals

Published on 17 Apr 2026 - 6:21

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How to find the value of $\sqrt{20+\sqrt{20+\sqrt{20 + \cdots}}}$

Published on 15 Apr 2026 - 12:53

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Can we find this infinite root in term of elementary function?

Published on 10 Apr 2026 - 18:35

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Why does $\sqrt{n\sqrt{n\sqrt{n \ldots}}} = n$?

Published on 15 Apr 2026 - 18:22

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Simplifying $\sqrt[4]{161-72 \sqrt{5}}$

Published on 16 Apr 2026 - 0:16

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Help Evaluating $\lim_{x \to \infty} \sqrt{x + \sqrt{x + \sqrt{x}}} - \sqrt{x}$

Published on 14 Apr 2026 - 11:23

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Simple solving Skanavi book exercise: $\sqrt[3]{9+\sqrt{80}}+\sqrt[3]{9-\sqrt{80}}$

Published on 15 Apr 2026 - 18:41

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Evaluating the limit of $\sqrt[2]{2+\sqrt[3]{2+\sqrt[4]{2+\cdots+\sqrt[n]{2}}}}$ when $n\to\infty$

Published on 16 Apr 2026 - 2:01

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Definition of Infinite Nesting?

Published on 09 Apr 2026 - 17:59

227

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Find the value of $\sqrt{1+2\sqrt{1+3\sqrt{1+....}}}$

Published on 15 Apr 2026 - 20:00

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Solve $x\sqrt{x\sqrt{x\sqrt{x\dots}}} = 4$

Published on 16 Apr 2026 - 13:56

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The convergence of $\sqrt {2+\sqrt {2+\sqrt {2+\ldots}}}$

Published on 16 Apr 2026 - 17:33

275

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Nested radicals and n-th roots

Published on 13 Apr 2026 - 22:54

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How does this discontinuity occur in evaluating a nested square root?

Published on 11 Apr 2026 - 13:52

294

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Nonlinear inhomogeneous recurrence $f(x)^2=f(x+1)+S(x)$ to find nested radical

Published on 15 Apr 2026 - 1:06

List Question

evaluating $ \sqrt {2+ \sqrt {3+ \sqrt{4+ \sqrt{5+\cdots}}} }$

How to find the value of $\sqrt{20+\sqrt{20+\sqrt{20 + \cdots}}}$

Can we find this infinite root in term of elementary function?

Why does $\sqrt{n\sqrt{n\sqrt{n \ldots}}} = n$?

Simplifying $\sqrt[4]{161-72 \sqrt{5}}$

Help Evaluating $\lim_{x \to \infty} \sqrt{x + \sqrt{x + \sqrt{x}}} - \sqrt{x}$

Simple solving Skanavi book exercise: $\sqrt[3]{9+\sqrt{80}}+\sqrt[3]{9-\sqrt{80}}$

Evaluating the limit of $\sqrt[2]{2+\sqrt[3]{2+\sqrt[4]{2+\cdots+\sqrt[n]{2}}}}$ when $n\to\infty$

Definition of Infinite Nesting?

Find the value of $\sqrt{1+2\sqrt{1+3\sqrt{1+....}}}$

Solve $x\sqrt{x\sqrt{x\sqrt{x\dots}}} = 4$

The convergence of $\sqrt {2+\sqrt {2+\sqrt {2+\ldots}}}$

Nested radicals and n-th roots

How does this discontinuity occur in evaluating a nested square root?

Nonlinear inhomogeneous recurrence $f(x)^2=f(x+1)+S(x)$ to find nested radical

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