Question

If $\tan(\alpha)+\cot(\alpha)=a\quad(a\gt 0),$ find $\sqrt{\tan(\alpha)}+\sqrt{\cot(\alpha)}$

score 606 · Answer 1 · 2017-07-14 04:26:02

606

Views

If $\tan(\alpha)+\cot(\alpha)=a\quad(a\gt 0),$ find $\sqrt{\tan(\alpha)}+\sqrt{\cot(\alpha)}$

Published on 14 Jul 2017 - 4:26

score 190 · Answer 2 · 2026-04-12 16:37:12

190

Views

Sum of square root of $n$ primes as a nested square root

Published on 12 Apr 2026 - 16:37

score 73 · Answer 3 · 2017-07-15 15:10:59

73

Views

A sudden question on a property of conjugates

Published on 15 Jul 2017 - 15:10

score 202 · Answer 4 · 2026-04-06 03:11:51

202

Views

Solve $ \sum_{cyc}\frac{ab}{\sqrt{ab+bc}} \leq \frac{1}{\sqrt{2}}$

Published on 06 Apr 2026 - 3:11

score 33 · Answer 5 · 2026-03-25 12:54:07

33

Views

Comparing entwined powers of squares

Published on 25 Mar 2026 - 12:54

score 743 · Answer 6 · 2026-04-12 13:19:06

743

Views

Integration by substitution

Published on 12 Apr 2026 - 13:19

score 3.2k · Answer 7 · 2017-07-18 08:33:20

3.2k

Views

Evaluate the given limit: $\lim_{x\to \infty} (\sqrt {x-a} - \sqrt {bx})$

Published on 18 Jul 2017 - 8:33

score 90 · Answer 8 · 2026-04-11 10:55:43

90

Views

Is there combinatorial recurrence with radicals?

Published on 11 Apr 2026 - 10:55

score 305 · Answer 9 · 2026-03-26 17:38:21

305

Views

Prove the inequality $\sqrt{\frac{x}{y^2+z^2}}+\sqrt{\frac{y}{z^2+x^2}}+\sqrt{\frac{z}{x^2+y^2}}\ge \frac{2\sqrt{6}}3$ with $x+y+z=3,x,y,z\ge 0$

Published on 26 Mar 2026 - 17:38

score 52 · Answer 10 · 2026-04-11 22:02:04

52

Views

Standard notation for repeated function

Published on 11 Apr 2026 - 22:02

score 1.3k · Answer 11 · 2017-07-24 11:35:44

1.3k

Views

Solving $\sqrt{8+2x-x^2} > 6-3x$.

Published on 24 Jul 2017 - 11:35

score 296 · Answer 12 · 2026-04-05 23:30:32

296

Views

Limit $\lim_{x \to 2^{-}} \left ( \frac{1}{\sqrt[3]{x^{2} -3x+2}} + \frac{1}{\sqrt[3]{x^{2} -5x+6}} \right )$

Published on 05 Apr 2026 - 23:30

score 190 · Answer 13 · 2026-04-12 10:05:56

190

Views

Conjecture about arcsin and $\sqrt{\quad}$

Published on 12 Apr 2026 - 10:05

score 478 · Answer 14 · 2017-07-25 08:51:40

478

Views

What is the domain of $f(x)=\sqrt{2x-8}$?

Published on 25 Jul 2017 - 8:51

score 88 · Answer 15 · 2026-03-26 14:32:01

88

Views

Sum of absolute values of solutions of $(2 + \sqrt 3)^x + (2 - \sqrt 3)^x=4$

Published on 26 Mar 2026 - 14:32

List Question

If $\tan(\alpha)+\cot(\alpha)=a\quad(a\gt 0),$ find $\sqrt{\tan(\alpha)}+\sqrt{\cot(\alpha)}$

Sum of square root of $n$ primes as a nested square root

A sudden question on a property of conjugates

Solve $ \sum_{cyc}\frac{ab}{\sqrt{ab+bc}} \leq \frac{1}{\sqrt{2}}$

Comparing entwined powers of squares

Integration by substitution

Evaluate the given limit: $\lim_{x\to \infty} (\sqrt {x-a} - \sqrt {bx})$

Is there combinatorial recurrence with radicals?

Prove the inequality $\sqrt{\frac{x}{y^2+z^2}}+\sqrt{\frac{y}{z^2+x^2}}+\sqrt{\frac{z}{x^2+y^2}}\ge \frac{2\sqrt{6}}3$ with $x+y+z=3,x,y,z\ge 0$

Standard notation for repeated function

Solving $\sqrt{8+2x-x^2} > 6-3x$.

Limit $\lim_{x \to 2^{-}} \left ( \frac{1}{\sqrt[3]{x^{2} -3x+2}} + \frac{1}{\sqrt[3]{x^{2} -5x+6}} \right )$

Conjecture about arcsin and $\sqrt{\quad}$

What is the domain of $f(x)=\sqrt{2x-8}$?

Sum of absolute values of solutions of $(2 + \sqrt 3)^x + (2 - \sqrt 3)^x=4$

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