Inequality involving $\sqrt{2}$
87111
Prove $\sqrt{2}$ is between $\dfrac{a}{b}$ and $\dfrac{a+2b}{a+b}$
108588
Improving bound on $\sqrt{2 \sqrt{3 \sqrt{4 \ldots}}}$
138490
An inequality with a weird condition
12837
Inequality with condition $x^2+y^2+z^2=1$.
79491
Inequality $(a+b)^2 + (a+b+4c)^2\ge \frac{kabc}{a+b+c}$ for $a,b,c \in\mathbb{R}$
106979
Prove the inequality and limitation
139711
prove this inequality with $\sum\limits_\text{cyc}\sqrt{1-xy}\ge 2$
142768
Approximation of $\sqrt{2}$
31295
$x+y\sqrt{2}$ infimum ($x,y\in \mathbb{Z}$)
136403
Prove that $\sqrt{a}\leq\frac{1+a}{2}$
52625
Prove inequality $\sqrt{\frac{2a}{b+a}} + \sqrt{\frac{2b}{c+b}} + \sqrt{\frac{2c}{a+c}} \leq 3$
91877
Let $|x|\leq1, |y|\leq 1$. Show that$0 \leq x^{2}+y^{2} -2x^{2} y^{2}+2xy \sqrt{1-x^{2}} \sqrt{1-y^{2}} \leq 1$
83034
Triangle inequality square #2
122156
An inequality concerning three positive numbers
88425
Prove that $\,\sqrt [n] n < 1 + \sqrt{\frac{2}{n}}\,$
126032
Proving a certain inequality
3030
Proving inequality $\frac{a}{b}+\frac{b}{c}+\frac{c}{a}+\frac{3\sqrt[3]{abc}}{a+b+c} \geq 4$