List questions from uvw

Published on 18 Mar 2026 - 2:02

426

Views

Prove $\sum\limits_{cyc}\sqrt[3]{\frac{a^2+bc}{b+c}}\ge\sqrt[3]{9(a+b+c)}$

Published on 17 Mar 2026 - 6:34

149

Views

Triangle inequality with the exradii $r_{a}$, $r_{b}$, $r_{c}$, the medians $m_{a}$, $m_{b}$, $m_{c}$

Published on 17 Mar 2026 - 2:29

89

Views

Find the minimum of a three variate function

Published on 17 Mar 2026 - 10:55

115

Views

Prove $Σ_{cyc}\frac{1}{\left(a+1\right)^2}+\frac{1}{a+b+c+1}\ge 1$

Published on 17 Mar 2026 - 3:50

278

Views

Prove $\left ( a+ b \right )^{2}\left ( b+ c \right )^{2}\left ( c+ a \right )^{2}\geq 64abc$

Published on 17 Mar 2026 - 18:55

265

Views

Prove this inequality $Σ_{cyc}\sqrt{\frac{a}{b+3c}}\ge \frac{3}{2}$ with $a;b;c>0$

Published on 17 Mar 2026 - 11:14

144

Views

An inequality with condition

Published on 17 Mar 2026 - 13:44

182

Views

If $x+y+z=2$ prove that $\sum_{cyc}\frac{1}{\sqrt{x^2+y^2}}\ge2+\frac{1}{\sqrt{2}}$

Published on 17 Mar 2026 - 9:25

88

Views

Stronger than Nessbit

Published on 17 Mar 2026 - 6:09

94

Views

show this $\prod(a^3+b^3+ab)^2\ge (\sum a^2b)^3( \sum ab^2)^3$

Published on 17 Mar 2026 - 16:00

679

Views

Whenever $a+b+c=1$, $\frac{bc+a+1}{a^2+1} + \frac{ac+b+1}{b^2+1} + \frac{ab+c+1}{c^2+1} \le \frac{39}{10}$

Published on 25 Mar 2026 - 1:18

479

Views

prove this inequality with $63$

Published on 20 Mar 2026 - 4:28

266

Views

A tricky algebraic inequality

Published on 25 Mar 2026 - 1:14

100

Views

An inequality with a condition

Published on 18 Mar 2026 - 0:34

List Question

Inequality with $ab+bc+ca=3$

Prove $\sum\limits_{cyc}\sqrt[3]{\frac{a^2+bc}{b+c}}\ge\sqrt[3]{9(a+b+c)}$

Triangle inequality with the exradii $r_{a}$, $r_{b}$, $r_{c}$, the medians $m_{a}$, $m_{b}$, $m_{c}$

Find the minimum of a three variate function

Prove $Σ_{cyc}\frac{1}{\left(a+1\right)^2}+\frac{1}{a+b+c+1}\ge 1$

Prove $\left ( a+ b \right )^{2}\left ( b+ c \right )^{2}\left ( c+ a \right )^{2}\geq 64abc$

Prove this inequality $Σ_{cyc}\sqrt{\frac{a}{b+3c}}\ge \frac{3}{2}$ with $a;b;c>0$

An inequality with condition

If $x+y+z=2$ prove that $\sum_{cyc}\frac{1}{\sqrt{x^2+y^2}}\ge2+\frac{1}{\sqrt{2}}$

Stronger than Nessbit

show this $\prod(a^3+b^3+ab)^2\ge (\sum a^2b)^3( \sum ab^2)^3$

Whenever $a+b+c=1$, $\frac{bc+a+1}{a^2+1} + \frac{ac+b+1}{b^2+1} + \frac{ab+c+1}{c^2+1} \le \frac{39}{10}$

prove this inequality with $63$

A tricky algebraic inequality

An inequality with a condition

Trending Questions

Popular # Hahtags

Popular Questions