List questions from nested-radicals | MathQa

Evaluate the nested square root $x = \sqrt{11 - 2\sqrt{10}} - \sqrt{11 + 2\sqrt{10}}$

Published on 12 Jan 2025 - 9:37

Limit of a sequence given by $x_n = \sqrt{3 + x_{n-1}}$ as n approaches infinity

Published on 12 Jan 2025 - 9:37

Show that sequence $\sqrt{2+\sqrt{2+...+\sqrt{2}}}$ is equal to $2 \, \cos(\theta)$

Published on 12 Jan 2025 - 9:37

Simplify $\sqrt{7+4\sqrt{3}}+\sqrt{28-10\sqrt{3}}$

Published on 12 Jan 2025 - 9:37

Difficulties in denesting radicals $\sqrt{17+12\sqrt{2}}\,+\,\sqrt{17-12\sqrt{2}}$

Published on 12 Jan 2025 - 9:37

How to show that some nested radicals simplify to other

Published on 12 Jan 2025 - 9:37

how to simplify $ 2 \sqrt{2}\left(\sqrt{9-\sqrt{77}} \right) $

Published on 12 Jan 2025 - 9:37

How to calculate $\lim_{x \to \infty}{\sqrt{1 + \sqrt{2 + \sqrt{4 + \sqrt{8 + ... \sqrt{2^{x}}}}}}}$.

Published on 12 Jan 2025 - 9:37

A variation of Viète's formula -- an infinite product of nested radicals

Published on 12 Jan 2025 - 9:37

Another way to evaluate the nested radical $x=\sqrt{2+{\sqrt{2+\sqrt{2+\ldots}}}}$

Published on 12 Jan 2025 - 9:37