Question

$\frac{3}{abc} \ge a + b + c$, prove that $\frac{1}{a} + \frac{1}{b} + \frac{1}{c} \ge a + b + c$

score 473 · Answer 1 · 2026-03-30 20:44:10

473

Views

$\frac{3}{abc} \ge a + b + c$, prove that $\frac{1}{a} + \frac{1}{b} + \frac{1}{c} \ge a + b + c$

Published on 30 Mar 2026 - 20:44

score 73 · Answer 2 · 2026-04-06 11:36:12

73

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Does $\sqrt {x^2} = \lvert x\rvert$ Apply for Expressions $x$ with More than One Term?

Published on 06 Apr 2026 - 11:36

score 79 · Answer 3 · 2017-09-15 05:02:23

79

Views

I have to prove this inequality. I was just looking for a solution to this problem as I have been stuck on it for a very long time.

Published on 15 Sep 2017 - 5:02

score 52 · Answer 4 · 2026-04-13 08:12:47

52

Views

Is every radical a $p^{\text{th}}$ root for some prime $p$?

Published on 13 Apr 2026 - 8:12

score 131 · Answer 5 · 2017-09-15 15:30:12

131

Views

How do I solve ${2(\sqrt{2}+\sqrt{6})}\over{3(\sqrt{2+\sqrt{3}})}$

Published on 15 Sep 2017 - 15:30

score 218 · Answer 6 · 2026-03-26 17:34:37

218

Views

Prove this inequality $\sum_{cyc}\sqrt{\frac{a}{3b^2+1}}\ge \frac{3}{2}$

Published on 26 Mar 2026 - 17:34

score 625 · Answer 7 · 2026-04-12 09:50:59

625

Views

Verification of infinite square root equation proof

Published on 12 Apr 2026 - 9:50

score 91 · Answer 8 · 2017-09-17 15:23:07

91

Views

If $x = \frac{\sqrt{3} + 1}{\sqrt{2} + 1}$, what is $\frac{\sqrt{3} - 1}{\sqrt{2} - 1}$ in terms of $x$?

Published on 17 Sep 2017 - 15:23

score 331 · Answer 9 · 2026-04-12 20:15:08

331

Views

Finding the smallest root of $a(1-a)^{n-1} = s$

Published on 12 Apr 2026 - 20:15

score 101 · Answer 10 · 2026-04-10 18:25:17

101

Views

Simplify a square root in another square root

Published on 10 Apr 2026 - 18:25

score 6.2k · Answer 11 · 2026-04-12 11:29:08

6.2k

Views

The limit of a fraction

Published on 12 Apr 2026 - 11:29

score 424 · Answer 12 · 2026-04-12 17:59:53

424

Views

Function for representing non-radical algebraic number

Published on 12 Apr 2026 - 17:59

score 299 · Answer 13 · 2017-09-18 20:44:47

299

Views

Why the cubic formula only gives three roots

Published on 18 Sep 2017 - 20:44

score 692 · Answer 14 · 2026-04-12 21:54:56

692

Views

Simplify $\sqrt{3+\sqrt{8}}$

Published on 12 Apr 2026 - 21:54

score 74 · Answer 15 · 2026-04-10 13:46:01

74

Views

Square root of radicals

Published on 10 Apr 2026 - 13:46

List Question

$\frac{3}{abc} \ge a + b + c$, prove that $\frac{1}{a} + \frac{1}{b} + \frac{1}{c} \ge a + b + c$

Does $\sqrt {x^2} = \lvert x\rvert$ Apply for Expressions $x$ with More than One Term?

I have to prove this inequality. I was just looking for a solution to this problem as I have been stuck on it for a very long time.

Is every radical a $p^{\text{th}}$ root for some prime $p$?

How do I solve ${2(\sqrt{2}+\sqrt{6})}\over{3(\sqrt{2+\sqrt{3}})}$

Prove this inequality $\sum_{cyc}\sqrt{\frac{a}{3b^2+1}}\ge \frac{3}{2}$

Verification of infinite square root equation proof

If $x = \frac{\sqrt{3} + 1}{\sqrt{2} + 1}$, what is $\frac{\sqrt{3} - 1}{\sqrt{2} - 1}$ in terms of $x$?

Finding the smallest root of $a(1-a)^{n-1} = s$

Simplify a square root in another square root

The limit of a fraction

Function for representing non-radical algebraic number

Why the cubic formula only gives three roots

Simplify $\sqrt{3+\sqrt{8}}$

Square root of radicals

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