Question

Recursive square root inside square root problem

score 428 · Answer 1 · 2018-09-03 07:51:55

428

Views

Recursive square root inside square root problem

Published on 03 Sep 2018 - 7:51

score 341 · Answer 2 · 2018-09-05 23:14:31

341

Views

How to find integers $p$ and $q$ such that $(p\sqrt{2}+q)^2=34-24\sqrt{2}$

Published on 05 Sep 2018 - 23:14

score 231 · Answer 3 · 2018-09-27 13:23:58

231

Views

Solve this inequality with nested radicals (possibly by induction)

Published on 27 Sep 2018 - 13:23

score 89 · Answer 4 · 2018-09-27 21:16:23

89

Views

How we can show this: $\sqrt{3+\sqrt{3}}-\sqrt{3-\sqrt{3}}=\sqrt{6-2\sqrt{6}}$

Published on 27 Sep 2018 - 21:16

score 5.4k · Answer 5 · 2018-09-29 07:48:00

5.4k

Views

Showing that $\sqrt[3]{9+9\sqrt[3]{9+9\sqrt[3]{9+\cdots}}} - \sqrt{8-\sqrt{8-\sqrt{8+\sqrt{8-\sqrt{8-\sqrt{8+\cdots}}}}}} = 1$?

Published on 29 Sep 2018 - 7:48

score 91 · Answer 6 · 2018-09-29 10:37:06

91

Views

If $x=-1/4$ does $S=\sqrt{x+\sqrt{x+\sqrt{x+...}}}=1/2$?

Published on 29 Sep 2018 - 10:37

score 388 · Answer 7 · 2018-10-01 00:15:48

388

Views

Show that $\sqrt{a-b\sqrt{a+b\sqrt{a-b\sqrt{a+...}}}}=\sqrt{a-\frac{3b^2}{4}}-\frac{b}{2}$

Published on 01 Oct 2018 - 0:15

score 238 · Answer 8 · 2018-10-01 20:18:59

238

Views

Find $\sqrt[m]{\frac{\sqrt[m]{\frac{\sqrt[m]{\frac{\sqrt[m]{a}}{a}}}{a}}}{\begin{array}{c} a\\\vdots \end{array}}}$

Published on 01 Oct 2018 - 20:18

score 286 · Answer 9 · 2018-10-04 12:54:51

286

Views

Simplify $\frac{2}{\sqrt{4-3\sqrt[4]{5}+2\sqrt{5}-\sqrt[4]{125}}}$

Published on 04 Oct 2018 - 12:54

score 79 · Answer 10 · 2018-10-15 09:14:40

79

Views

How can I figure out a nested radical?

Published on 15 Oct 2018 - 9:14

score 244 · Answer 11 · 2018-10-21 07:54:42

244

Views

How to simplify nested radicals?

Published on 21 Oct 2018 - 7:54

score 2.4k · Answer 12 · 2018-10-22 18:40:06

2.4k

Views

How to prove $\sqrt {a-\sqrt {a+\sqrt {a-\sqrt {a+\sqrt {a-\sqrt {a+\ldots}}}}}}=\frac {\sqrt {4a-3}-1}2$

Published on 22 Oct 2018 - 18:40

score 217 · Answer 13 · 2018-11-05 21:16:09

217

Views

How to solve this radical expression: $\frac 1{xy} \times (\sqrt{xy} - \frac{xy}{x-\sqrt{xy}})\times (\sqrt{xy} + \frac{xy}{x+\sqrt{xy}})$

Published on 05 Nov 2018 - 21:16

score 2.8k · Answer 14 · 2018-11-14 11:47:45

2.8k

Views

Can we make it equal to x?

Published on 14 Nov 2018 - 11:47

score 99 · Answer 15 · 2018-11-15 21:07:00

99

Views

What's equal the below power nested radical?

Published on 15 Nov 2018 - 21:07

List Question

Recursive square root inside square root problem

How to find integers $p$ and $q$ such that $(p\sqrt{2}+q)^2=34-24\sqrt{2}$

Solve this inequality with nested radicals (possibly by induction)

How we can show this: $\sqrt{3+\sqrt{3}}-\sqrt{3-\sqrt{3}}=\sqrt{6-2\sqrt{6}}$

Showing that $\sqrt[3]{9+9\sqrt[3]{9+9\sqrt[3]{9+\cdots}}} - \sqrt{8-\sqrt{8-\sqrt{8+\sqrt{8-\sqrt{8-\sqrt{8+\cdots}}}}}} = 1$?

If $x=-1/4$ does $S=\sqrt{x+\sqrt{x+\sqrt{x+...}}}=1/2$?

Show that $\sqrt{a-b\sqrt{a+b\sqrt{a-b\sqrt{a+...}}}}=\sqrt{a-\frac{3b^2}{4}}-\frac{b}{2}$

Find $\sqrt[m]{\frac{\sqrt[m]{\frac{\sqrt[m]{\frac{\sqrt[m]{a}}{a}}}{a}}}{\begin{array}{c} a\\\vdots \end{array}}}$

Simplify $\frac{2}{\sqrt{4-3\sqrt[4]{5}+2\sqrt{5}-\sqrt[4]{125}}}$

How can I figure out a nested radical?

How to simplify nested radicals?

How to prove $\sqrt {a-\sqrt {a+\sqrt {a-\sqrt {a+\sqrt {a-\sqrt {a+\ldots}}}}}}=\frac {\sqrt {4a-3}-1}2$

How to solve this radical expression: $\frac 1{xy} \times (\sqrt{xy} - \frac{xy}{x-\sqrt{xy}})\times (\sqrt{xy} + \frac{xy}{x+\sqrt{xy}})$

Can we make it equal to x?

What's equal the below power nested radical?

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