Question

Infinite root out of x

score 217 · Answer 1 · 2014-04-02 20:05:43

217

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Infinite root out of x

Published on 02 Apr 2014 - 20:05

score 1.4k · Answer 2 · 2014-04-03 08:34:42

1.4k

Views

Writing square root of square-free numbers as sum of square roots.

Published on 03 Apr 2014 - 8:34

score 86 · Answer 3 · 2014-04-03 15:41:05

86

Views

Limit $\lim\limits_{x \to \infty} x^{1/x}$

Published on 03 Apr 2014 - 15:41

score 134 · Answer 4 · 2014-04-04 05:14:59

134

Views

value of $x^3 - 6x^2 + 6x$ when $x$ is an expression involving radicals

Published on 04 Apr 2014 - 5:14

score 96 · Answer 5 · 2014-04-04 23:24:35

96

Views

Proving a sequence to be divergent

Published on 04 Apr 2014 - 23:24

score 327 · Answer 6 · 2026-03-28 21:06:46

327

Views

How to prove $\frac{1}{x}=\frac{1}{a}+\frac{1}{b}+\frac{1}{c}+2\sqrt{\frac{1}{ab}+\frac{1}{ac}+\frac{1}{bc}}$

Published on 28 Mar 2026 - 21:06

score 401 · Answer 7 · 2026-03-28 19:00:07

401

Views

Geometry aspect of a extreme value problem

Published on 28 Mar 2026 - 19:00

score 482 · Answer 8 · 2026-03-28 10:54:49

482

Views

Limit of composite trigonometric function

Published on 28 Mar 2026 - 10:54

score 633 · Answer 9 · 2014-04-14 10:27:55

633

Views

Rationalization of denominator with nth roots

Published on 14 Apr 2014 - 10:27

score 871 · Answer 10 · 2014-04-15 14:54:19

871

Views

Find the largest possible root of a number that is whole

Published on 15 Apr 2014 - 14:54

score 75 · Answer 11 · 2014-04-18 14:07:36

75

Views

How to know if the mth root of n is an integer?

Published on 18 Apr 2014 - 14:07

score 277 · Answer 12 · 2026-03-27 13:03:24

277

Views

Prove that $\frac{1}{\sqrt{1+a^2}}+\frac{1}{\sqrt{1+b^2}}+\frac{1}{\sqrt{1+c^2}}\le\frac{3}{2}$

Published on 27 Mar 2026 - 13:03

score 360 · Answer 13 · 2026-03-27 07:50:59

360

Views

Quadratic equations and inequalities $\sqrt{4n+1}<\sqrt{n} + \sqrt{n+1}<\sqrt{4n+2}$ and $[\sqrt{n}+\sqrt{n+1}] = [\sqrt{4n+1}]$

Published on 27 Mar 2026 - 7:50

score 142 · Answer 14 · 2014-04-19 21:47:02

142

Views

Prove $\lim\limits_{n \to \infty} \sqrt[k]{X_n} = \sqrt[k]{\lim\limits_{n \to \infty} X_n}$, where $\{X_n\}_{n=1}^\infty$ converges

Published on 19 Apr 2014 - 21:47

score 212 · Answer 15 · 2014-04-21 09:15:25

212

Views

Why ${(a^2)}^{\frac 12}=\sqrt {a^2}=|a| \neq a$?

Published on 21 Apr 2014 - 9:15

List Question

Infinite root out of x

Writing square root of square-free numbers as sum of square roots.

Limit $\lim\limits_{x \to \infty} x^{1/x}$

value of $x^3 - 6x^2 + 6x$ when $x$ is an expression involving radicals

Proving a sequence to be divergent

How to prove $\frac{1}{x}=\frac{1}{a}+\frac{1}{b}+\frac{1}{c}+2\sqrt{\frac{1}{ab}+\frac{1}{ac}+\frac{1}{bc}}$

Geometry aspect of a extreme value problem

Limit of composite trigonometric function

Rationalization of denominator with nth roots

Find the largest possible root of a number that is whole

How to know if the mth root of n is an integer?

Prove that $\frac{1}{\sqrt{1+a^2}}+\frac{1}{\sqrt{1+b^2}}+\frac{1}{\sqrt{1+c^2}}\le\frac{3}{2}$

Quadratic equations and inequalities $\sqrt{4n+1}<\sqrt{n} + \sqrt{n+1}<\sqrt{4n+2}$ and $[\sqrt{n}+\sqrt{n+1}] = [\sqrt{4n+1}]$

Prove $\lim\limits_{n \to \infty} \sqrt[k]{X_n} = \sqrt[k]{\lim\limits_{n \to \infty} X_n}$, where $\{X_n\}_{n=1}^\infty$ converges

Why ${(a^2)}^{\frac 12}=\sqrt {a^2}=|a| \neq a$?

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