List questions from nested-radicals

Published on 17 Mar 2019 - 7:30

120

Views

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

Published on 23 Mar 2019 - 12:38

114

Views

On two nested radicals and divisibility

Published on 02 Apr 2019 - 19:39

87

Views

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

Published on 03 Apr 2019 - 6:04

36

Views

How to use the formula in negative roots?

Published on 11 Apr 2019 - 23:34

165

Views

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

Published on 13 Apr 2019 - 12:40

96

Views

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

Published on 05 May 2019 - 8:52

102

Views

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

Published on 12 May 2019 - 17:15

81

Views

Confusing regarding a nested radical equation

Published on 24 Mar 2026 - 23:40

57

Views

Simplifying fraction with nested radicals and fractions

Published on 05 Jun 2019 - 19:52

198

Views

Nested radical eventually reaches 1

Published on 09 Jun 2019 - 4:17

147

Views

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

Published on 19 Jun 2019 - 20:16

900

Views

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

Published on 30 Jun 2019 - 4:40

330

Views

Solvability by radicals implies a radical formula for its roots

Published on 11 Jul 2019 - 19:01

77

Views

Equivalency of two radical expressions proof

Published on 12 Jul 2019 - 20:52

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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