List questions from nested-radicals

Published on 11 Apr 2026 - 0:06

123

Views

Convergence of $\sqrt[k]{z+\sqrt[k]{z+\sqrt[k]{z+\cdots}}}$, where $z=(1+x)^k-(1+x)$

Published on 18 Apr 2026 - 14:24

119

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On two nested radicals and divisibility

Published on 17 Apr 2026 - 10:10

90

Views

Find $\sqrt{a} + \sqrt{b}\space$ as an exact answer for $\{a,b\} \in \mathbb R^+$

Published on 16 Apr 2026 - 3:35

39

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How to use the formula in negative roots?

Published on 09 Apr 2026 - 6:20

168

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$\lim\limits_{n \to \infty}\sqrt{1+\sqrt{\frac{1}{2^2}+\sqrt{\frac{1}{3^2}+\cdots+\sqrt{\frac{1}{n^2}}}}}.$

Published on 17 Apr 2026 - 15:47

99

Views

Problem with $\frac{\sqrt{6+4\sqrt{2}}}{4+2\sqrt{2}}$

Published on 15 Apr 2026 - 18:50

103

Views

Simplify $\sqrt {9 + 2(1 + \sqrt {3})(1 + \sqrt {7})}$

Published on 25 Mar 2026 - 11:00

82

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Confusing regarding a nested radical equation

Published on 10 May 2026 - 15:57

60

Views

Simplifying fraction with nested radicals and fractions

Published on 09 Apr 2026 - 10:58

201

Views

Nested radical eventually reaches 1

Published on 13 Apr 2026 - 1:46

150

Views

Polynomial extension of Collatz graph... does it converge finitely?

Published on 14 Apr 2026 - 9:12

902

Views

Solve the following equation: $\sqrt {\sin x - \sqrt {\cos x + \sin x} } = \cos x$

Published on 14 Apr 2026 - 23:18

333

Views

Solvability by radicals implies a radical formula for its roots

Published on 12 Apr 2026 - 21:57

80

Views

Equivalency of two radical expressions proof

Published on 12 Apr 2026 - 4:36

List Question

How to simplify $\sqrt{2+\sqrt{3}}$ $?$

Convergence of $\sqrt[k]{z+\sqrt[k]{z+\sqrt[k]{z+\cdots}}}$, where $z=(1+x)^k-(1+x)$

On two nested radicals and divisibility

Find $\sqrt{a} + \sqrt{b}\space$ as an exact answer for $\{a,b\} \in \mathbb R^+$

How to use the formula in negative roots?

$\lim\limits_{n \to \infty}\sqrt{1+\sqrt{\frac{1}{2^2}+\sqrt{\frac{1}{3^2}+\cdots+\sqrt{\frac{1}{n^2}}}}}.$

Problem with $\frac{\sqrt{6+4\sqrt{2}}}{4+2\sqrt{2}}$

Simplify $\sqrt {9 + 2(1 + \sqrt {3})(1 + \sqrt {7})}$

Confusing regarding a nested radical equation

Simplifying fraction with nested radicals and fractions

Nested radical eventually reaches 1

Polynomial extension of Collatz graph... does it converge finitely?

Solve the following equation: $\sqrt {\sin x - \sqrt {\cos x + \sin x} } = \cos x$

Solvability by radicals implies a radical formula for its roots

Equivalency of two radical expressions proof

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