Question

How to prove this inequality $\sqrt{\frac{ab+bc+cd+da+ac+bd}{6}}\geq \sqrt[3]{{\frac{abc+bcd+cda+dab}{4}}}$

score 7.2k · Answer 1 · 2026-04-14 22:19:43

7.2k

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How to prove this inequality $\sqrt{\frac{ab+bc+cd+da+ac+bd}{6}}\geq \sqrt[3]{{\frac{abc+bcd+cda+dab}{4}}}$

Published on 14 Apr 2026 - 22:19

score 490 · Answer 2 · 2026-04-18 00:05:01

490

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Solving an equation with three quadratic radicals in the set of real numbers

Published on 18 Apr 2026 - 0:05

score 5.1k · Answer 3 · 2026-04-16 10:47:19

5.1k

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Prove $\lim_{x\to0}\sqrt{4-x}=2$ using the precise definition of limits. (Epsilon-Delta)

Published on 16 Apr 2026 - 10:47

score 260 · Answer 4 · 2026-04-14 20:45:04

260

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How to evaluate this limit: $\lim\limits_{x\to 1} \frac{\sqrt{3+x}-2}{\sqrt[3]{7+x}-2}$?

Published on 14 Apr 2026 - 20:45

score 9.7k · Answer 5 · 2026-04-15 17:45:40

9.7k

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Showing that $\frac{\sqrt[n]{n!}}{n}$ $\rightarrow \frac{1}{e}$

Published on 15 Apr 2026 - 17:45

score 158 · Answer 6 · 2026-04-14 16:07:01

158

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Find the derivative of the function

Published on 14 Apr 2026 - 16:07

score 771 · Answer 7 · 2026-04-17 01:35:58

771

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Solve $3\sqrt{x+4}-2\sqrt{x-11}+5\sqrt{x-8}=0$

Published on 17 Apr 2026 - 1:35

score 1.8k · Answer 8 · 2026-04-12 04:27:57

1.8k

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$A = B^2$ for which matrix $A$?

Published on 12 Apr 2026 - 4:27

score 1k · Answer 9 · 2026-04-11 19:05:38

1k

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How to solve this equation:$\sqrt{x-\sqrt{x-\sqrt{x-\sqrt{x-5}}}}=5$

Published on 11 Apr 2026 - 19:05

score 266 · Answer 10 · 2026-04-16 04:48:05

266

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compute $\lim_{n\to \infty} \sqrt{n}(\sqrt{n+1}-\sqrt{n})$

Published on 16 Apr 2026 - 4:48

score 31.7k · Answer 11 · 2026-04-16 09:00:08

31.7k

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Why sqrt(4) isn't equall to-2?

Published on 16 Apr 2026 - 9:00

score 399 · Answer 12 · 2026-04-17 07:30:18

399

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Limit $\lim\limits_{n\to\infty} \sqrt[n]{\frac1{\sqrt3}\left(\left(\frac{1+\sqrt3}2\right)^n-\left(\frac{1-\sqrt3}2\right)^n\right)}$

Published on 17 Apr 2026 - 7:30

score 24.4k · Answer 13 · 2026-04-12 21:47:15

24.4k

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Why is $\sqrt{8}/2$ equal to $\sqrt{2}$?

Published on 12 Apr 2026 - 21:47

score 632 · Answer 14 · 2026-04-16 01:06:24

632

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Solving the equation $\sqrt{x+1} +\sqrt{x+33}=\sqrt{x+6} +\sqrt{x+22}$ for $x$

Published on 16 Apr 2026 - 1:06

score 349 · Answer 15 · 2026-04-17 10:30:38

349

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Showing $\lim_{n\rightarrow\infty}\sqrt[3]{n^3+n^2}-\sqrt[3]{n^3+1}\rightarrow\frac{1}{3}$

Published on 17 Apr 2026 - 10:30

List Question

How to prove this inequality $\sqrt{\frac{ab+bc+cd+da+ac+bd}{6}}\geq \sqrt[3]{{\frac{abc+bcd+cda+dab}{4}}}$

Solving an equation with three quadratic radicals in the set of real numbers

Prove $\lim_{x\to0}\sqrt{4-x}=2$ using the precise definition of limits. (Epsilon-Delta)

How to evaluate this limit: $\lim\limits_{x\to 1} \frac{\sqrt{3+x}-2}{\sqrt[3]{7+x}-2}$?

Showing that $\frac{\sqrt[n]{n!}}{n}$ $\rightarrow \frac{1}{e}$

Find the derivative of the function

Solve $3\sqrt{x+4}-2\sqrt{x-11}+5\sqrt{x-8}=0$

$A = B^2$ for which matrix $A$?

How to solve this equation:$\sqrt{x-\sqrt{x-\sqrt{x-\sqrt{x-5}}}}=5$

compute $\lim_{n\to \infty} \sqrt{n}(\sqrt{n+1}-\sqrt{n})$

Why sqrt(4) isn't equall to-2?

Limit $\lim\limits_{n\to\infty} \sqrt[n]{\frac1{\sqrt3}\left(\left(\frac{1+\sqrt3}2\right)^n-\left(\frac{1-\sqrt3}2\right)^n\right)}$

Why is $\sqrt{8}/2$ equal to $\sqrt{2}$?

Solving the equation $\sqrt{x+1} +\sqrt{x+33}=\sqrt{x+6} +\sqrt{x+22}$ for $x$

Showing $\lim_{n\rightarrow\infty}\sqrt[3]{n^3+n^2}-\sqrt[3]{n^3+1}\rightarrow\frac{1}{3}$

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