Question

Inequality : $ \sum_{cyc} \frac{a+b}{\sqrt{a+2c}} \geq 2 \sqrt{a+b+c}$

score 408 · Answer 1 · 2026-03-26 09:49:58

408

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Inequality : $ \sum_{cyc} \frac{a+b}{\sqrt{a+2c}} \geq 2 \sqrt{a+b+c}$

Published on 26 Mar 2026 - 9:49

score 159 · Answer 2 · 2017-08-12 12:31:22

159

Views

Solve the equation $\sqrt{x^3+1}\left(4x-1\right)=2x^3+x^2+1$

Published on 12 Aug 2017 - 12:31

score 202 · Answer 3 · 2026-03-25 20:22:59

202

Views

Inequality : $\sum_{cyc}\frac{\sqrt{a^3c}}{2\sqrt{b^3a}+3bc}\geq \frac{3}{5}$

Published on 25 Mar 2026 - 20:22

score 310 · Answer 4 · 2026-03-30 03:56:27

310

Views

Find $x\in \Bbb Z$ such that $x=\sqrt[3]{2+\sqrt{5}}+\sqrt[3]{2-\sqrt{5}}$

Published on 30 Mar 2026 - 3:56

score 150 · Answer 5 · 2026-04-06 11:14:38

150

Views

Prove $ \ \sqrt[5]{17} \notin \mathbb{Q}$

Published on 06 Apr 2026 - 11:14

score 380 · Answer 6 · 2026-04-12 22:09:07

380

Views

Square root of the determinant of AB+I where A, B are skew-symmetric

Published on 12 Apr 2026 - 22:09

score 55 · Answer 7 · 2026-04-06 04:24:39

55

Views

Cancelling out problem (2 different answers?)

Published on 06 Apr 2026 - 4:24

score 2.2k · Answer 8 · 2026-03-31 01:09:31

2.2k

Views

Find the maximum value of $a^2b^3$ where $a,b$ are positive real numbers satisfying $a+b=10$

Published on 31 Mar 2026 - 1:09

score 166 · Answer 9 · 2026-03-30 09:23:50

166

Views

Expressing the roots of $y^5 + 11y^4 - 77y^3 + 132y^2 - 77y + 11 = 0$ in terms of of $\zeta_{11}$?

Published on 30 Mar 2026 - 9:23

score 126 · Answer 10 · 2026-03-25 20:15:52

126

Views

Identity to simplify $x \times \left( 1-\sqrt{1-\frac{2}{x}} \right)$

Published on 25 Mar 2026 - 20:15

score 2.2k · Answer 11 · 2026-04-08 16:06:31

2.2k

Views

Finding minimum value of $\sqrt{x^2-2x+1} + \sqrt{x^2-6x+13}$

Published on 08 Apr 2026 - 16:06

score 156 · Answer 12 · 2026-03-30 11:57:49

156

Views

$\sqrt[7]{3+\sqrt[7]{3+\sqrt[7]{3+\dotso}}}$

Published on 30 Mar 2026 - 11:57

score 354 · Answer 13 · 2026-04-13 00:57:04

354

Views

How does this approximation of $\sqrt[R]{n}$ work?

Published on 13 Apr 2026 - 0:57

score 72 · Answer 14 · 2026-04-11 15:58:35

72

Views

How do I compute the limit of a radical outside of a fraction?

Published on 11 Apr 2026 - 15:58

score 82 · Answer 15 · 2017-08-23 19:10:46

82

Views

Why does following $\sqrt{x^2} = \lvert x\rvert$ appear to give an extra solution?

Published on 23 Aug 2017 - 19:10

List Question

Inequality : $ \sum_{cyc} \frac{a+b}{\sqrt{a+2c}} \geq 2 \sqrt{a+b+c}$

Solve the equation $\sqrt{x^3+1}\left(4x-1\right)=2x^3+x^2+1$

Inequality : $\sum_{cyc}\frac{\sqrt{a^3c}}{2\sqrt{b^3a}+3bc}\geq \frac{3}{5}$

Find $x\in \Bbb Z$ such that $x=\sqrt[3]{2+\sqrt{5}}+\sqrt[3]{2-\sqrt{5}}$

Prove $ \ \sqrt[5]{17} \notin \mathbb{Q}$

Square root of the determinant of AB+I where A, B are skew-symmetric

Cancelling out problem (2 different answers?)

Find the maximum value of $a^2b^3$ where $a,b$ are positive real numbers satisfying $a+b=10$

Expressing the roots of $y^5 + 11y^4 - 77y^3 + 132y^2 - 77y + 11 = 0$ in terms of of $\zeta_{11}$?

Identity to simplify $x \times \left( 1-\sqrt{1-\frac{2}{x}} \right)$

Finding minimum value of $\sqrt{x^2-2x+1} + \sqrt{x^2-6x+13}$

$\sqrt[7]{3+\sqrt[7]{3+\sqrt[7]{3+\dotso}}}$

How does this approximation of $\sqrt[R]{n}$ work?

How do I compute the limit of a radical outside of a fraction?

Why does following $\sqrt{x^2} = \lvert x\rvert$ appear to give an extra solution?

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