Question

When $\cos{n^{\circ}}$ can be expressed in real radicals?

score 267 · Answer 1 · 2013-12-30 22:30:34

267

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When $\cos{n^{\circ}}$ can be expressed in real radicals?

Published on 30 Dec 2013 - 22:30

score 398 · Answer 2 · 2026-03-29 19:09:39

398

Views

Ramanujan's curious cubic identities

Published on 29 Mar 2026 - 19:09

score 59 · Answer 3 · 2013-12-31 04:03:58

59

Views

Prove that $\forall \, a,b \in \mathbb{N}- \{0,1\}\,\, \wedge \,\,a<b \,\, ; \,\, a^{1/a} > b^{1/b}$

Published on 31 Dec 2013 - 4:03

score 100 · Answer 4 · 2014-01-02 06:08:33

100

Views

Calculate approximately the expression $A = 5^{1/2} . 5^{1/4} . 5^{1/8}...$

Published on 02 Jan 2014 - 6:08

score 590 · Answer 5 · 2026-03-27 13:42:15

590

Views

Show that the minimal polynomial of every element in $K=\mathbb{Q}(\zeta)$ is solvable by radicals, where $\zeta$ is a primitive 9th root of unity.

Published on 27 Mar 2026 - 13:42

score 147 · Answer 6 · 2014-01-03 07:30:04

147

Views

Find $x$ in $\large \,\, A^{A^{{{A^.}^.}^.}}= \,\,(\sqrt [x\cdot x\cdot x\cdot ...] x)^{ (((1\cdot x+1)x +1)x +1)x+1...} $

Published on 03 Jan 2014 - 7:30

score 408 · Answer 7 · 2026-03-30 02:16:34

408

Views

Roots of unity and a system of equations by Ramanujan

Published on 30 Mar 2026 - 2:16

score 180 · Answer 8 · 2014-01-04 20:12:04

180

Views

How can I find the following limit: $\lim\limits_{x\to \:4}\frac{\sqrt{x+5}-3}{x-4}$

Published on 04 Jan 2014 - 20:12

score 1.2k · Answer 9 · 2014-01-04 22:09:05

1.2k

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Puzzled by $\lim\limits_{x \to - \infty} \sqrt{x^2+x}-x$

Published on 04 Jan 2014 - 22:09

score 168 · Answer 10 · 2014-01-06 01:11:33

168

Views

Proof $\lim\limits_{n \rightarrow \infty}n(a^{\frac{1}{n}}-1)=\log a$

Published on 06 Jan 2014 - 1:11

score 459 · Answer 11 · 2026-03-30 06:32:41

459

Views

Find the value of : $\lim_{x\to\infty}\sqrt{x+\sqrt{x+\sqrt{x+\sqrt{x}}}}-\sqrt{x}$

Published on 30 Mar 2026 - 6:32

score 2.3k · Answer 12 · 2026-03-27 03:41:46

2.3k

Views

Prove that $\sqrt[3]{5-\sqrt{2}}$ is not a rational number

Published on 27 Mar 2026 - 3:41

score 2k · Answer 13 · 2026-04-10 19:51:12

2k

Views

How to rewrite $7-\sqrt 5$ in root form without a minus sign?

Published on 10 Apr 2026 - 19:51

score 6.6k · Answer 14 · 2014-01-09 10:39:22

6.6k

Views

Proving this limit: $\lim\limits_{n\to\infty}\sqrt [n]n=1$

Published on 09 Jan 2014 - 10:39

score 3.6k · Answer 15 · 2026-03-30 06:29:13

3.6k

Views

sum of infinite roots?

Published on 30 Mar 2026 - 6:29

List Question

When $\cos{n^{\circ}}$ can be expressed in real radicals?

Ramanujan's curious cubic identities

Prove that $\forall \, a,b \in \mathbb{N}- \{0,1\}\,\, \wedge \,\,a<b \,\, ; \,\, a^{1/a} > b^{1/b}$

Calculate approximately the expression $A = 5^{1/2} . 5^{1/4} . 5^{1/8}...$

Show that the minimal polynomial of every element in $K=\mathbb{Q}(\zeta)$ is solvable by radicals, where $\zeta$ is a primitive 9th root of unity.

Find $x$ in $\large \,\, A^{A^{{{A^.}^.}^.}}= \,\,(\sqrt [x\cdot x\cdot x\cdot ...] x)^{ (((1\cdot x+1)x +1)x +1)x+1...} $

Roots of unity and a system of equations by Ramanujan

How can I find the following limit: $\lim\limits_{x\to \:4}\frac{\sqrt{x+5}-3}{x-4}$

Puzzled by $\lim\limits_{x \to - \infty} \sqrt{x^2+x}-x$

Proof $\lim\limits_{n \rightarrow \infty}n(a^{\frac{1}{n}}-1)=\log a$

Find the value of : $\lim_{x\to\infty}\sqrt{x+\sqrt{x+\sqrt{x+\sqrt{x}}}}-\sqrt{x}$

Prove that $\sqrt[3]{5-\sqrt{2}}$ is not a rational number

How to rewrite $7-\sqrt 5$ in root form without a minus sign?

Proving this limit: $\lim\limits_{n\to\infty}\sqrt [n]n=1$

sum of infinite roots?

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