Question

Graphic proof of the limit = $\sqrt{2 + \sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2 + ...}}}}}} $

score 183 · Answer 1 · 2019-10-09 17:57:34

183

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Graphic proof of the limit = $\sqrt{2 + \sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2 + ...}}}}}} $

Published on 09 Oct 2019 - 17:57

score 51 · Answer 2 · 2019-10-10 10:33:52

51

Views

Domain of inequation inside squared root

Published on 10 Oct 2019 - 10:33

score 77 · Answer 3 · 2026-03-25 23:15:50

77

Views

Solution to complicated expression with nested radicals

Published on 25 Mar 2026 - 23:15

score 531 · Answer 4 · 2019-10-13 03:01:56

531

Views

When to include and omit the plus-minus when applying the square root

Published on 13 Oct 2019 - 3:01

score 138 · Answer 5 · 2019-10-18 12:02:16

138

Views

$\frac{1}{\sqrt1}+\frac{1}{\sqrt2}+\dots+\frac{1}{\sqrt{n}}<2\sqrt{n}$?

Published on 18 Oct 2019 - 12:02

score 58 · Answer 6 · 2026-03-29 07:19:45

58

Views

Express $\frac{\sqrt3}{1 + 2^{1/3}}$ as $\sqrt{2^{2/3} - 1}$

Published on 29 Mar 2026 - 7:19

score 1k · Answer 7 · 2026-03-25 23:11:08

1k

Views

If $\sqrt{27-10\sqrt{2}} = a+b$, where $a$ is a positive integer and $b$ is between $0$ and $1$, what is $\frac{a+b}{a-b}$?

Published on 25 Mar 2026 - 23:11

score 2.6k · Answer 8 · 2026-03-25 17:18:17

2.6k

Views

Is x^1/3 the same as cube root(x)?

Published on 25 Mar 2026 - 17:18

score 471 · Answer 9 · 2019-10-22 15:41:12

Simplify: $\frac{\sqrt{10+\sqrt{1}}+\sqrt{10+\sqrt{2}}+\ldots+\sqrt{10+\sqrt{99}}}{\sqrt{10-\sqrt{1}}+\sqrt{10-\sqrt{2}}+\ldots+\sqrt{10-\sqrt{99}}}$

score 73 · Answer 10 · 2019-10-22 22:06:16

73

Views

Exam question: Showing $z = \left(\frac{1 +z}{\left|1 + z\right|} \right)^2$ for $z\in\mathbb{C}$ and $\left| z \right| = 1$

Published on 22 Oct 2019 - 22:06

score 34 · Answer 11 · 2026-03-29 06:28:51

34

Views

Perfect squares relantionship

Published on 29 Mar 2026 - 6:28

score 96 · Answer 12 · 2019-10-23 14:12:33

96

Views

Show that if $\{a_n\} \to L\text{ then }\{\sqrt{a_n}\} \to \sqrt{L}$

Published on 23 Oct 2019 - 14:12

score 63 · Answer 13 · 2026-03-27 06:07:23

63

Views

Can someone explain this strange relationship between arithmetic, quadratic, and cubic means?

Published on 27 Mar 2026 - 6:07

score 331 · Answer 14 · 2026-03-25 23:11:04

331

Views

Is there a general identity for the infinite radicals; $\sqrt{n^{0}+\sqrt{n^{1}+\sqrt{n^{2}+\sqrt{n^{3}+...}}}}$

Published on 25 Mar 2026 - 23:11

score 257 · Answer 15 · 2026-03-27 08:38:57

257

Views

Strange approximation to $\sqrt{\pi}$

Published on 27 Mar 2026 - 8:38

List Question

Graphic proof of the limit = $\sqrt{2 + \sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2 + ...}}}}}} $

Domain of inequation inside squared root

Solution to complicated expression with nested radicals

When to include and omit the plus-minus when applying the square root

$\frac{1}{\sqrt1}+\frac{1}{\sqrt2}+\dots+\frac{1}{\sqrt{n}}<2\sqrt{n}$?

Express $\frac{\sqrt3}{1 + 2^{1/3}}$ as $\sqrt{2^{2/3} - 1}$

If $\sqrt{27-10\sqrt{2}} = a+b$, where $a$ is a positive integer and $b$ is between $0$ and $1$, what is $\frac{a+b}{a-b}$?

Is x^1/3 the same as cube root(x)?

Simplify: $\frac{\sqrt{10+\sqrt{1}}+\sqrt{10+\sqrt{2}}+\ldots+\sqrt{10+\sqrt{99}}}{\sqrt{10-\sqrt{1}}+\sqrt{10-\sqrt{2}}+\ldots+\sqrt{10-\sqrt{99}}}$

Exam question: Showing $z = \left(\frac{1 +z}{\left|1 + z\right|} \right)^2$ for $z\in\mathbb{C}$ and $\left| z \right| = 1$

Perfect squares relantionship

Show that if $\{a_n\} \to L\text{ then }\{\sqrt{a_n}\} \to \sqrt{L}$

Can someone explain this strange relationship between arithmetic, quadratic, and cubic means?

Is there a general identity for the infinite radicals; $\sqrt{n^{0}+\sqrt{n^{1}+\sqrt{n^{2}+\sqrt{n^{3}+...}}}}$

Strange approximation to $\sqrt{\pi}$

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