Is k=$\sqrt{6+\sqrt{6+...}}$ monotonically increasing?
31740
Nested roots sequence, how to prove it's monotone and bounded?
149390
Fixed point of a Function (monotonically increasing)
1001
Number of integer solutions of $x^2 + y^2 = k$
69943
why is ${n+1\choose k} = {n\choose k} + {n\choose k-1}$?
59475
Show that $\sqrt{n+1}-\sqrt{n}\to0$
108971
Finding the limit of $\sqrt[n]{{kn \choose n}}$
32760
Is $\mathbf{Q}(\sqrt{2}, \sqrt{3}) = \mathbf{Q}(\sqrt{2}+\sqrt{3})$?
105658
Show that a function that is locally increasing is increasing?
20271
Proving $\sum_{k=1}^n{k^2}=\frac{n(n+1)(2n+1)}{6}$ without induction
116901
Monotonicity of $\frac{n}{\sqrt[n]{(n!)}}$
102524
$ 1^k+2^k+3^k+...+(p-1)^k $ always a multiple of $p$?
31295
$x+y\sqrt{2}$ infimum ($x,y\in \mathbb{Z}$)
114793
Prove that $\sqrt{10} - \sqrt6 - \sqrt5 + \sqrt3$ is irrational
85465
Let $f$ be increasing on $[a,b]$ and $a < x_1 < \dotsb < x_n < b$. Show that $\sum_{k = 1}^n [f(x_k^+) - f(x_k^-)]\leq f(b^-) - f(a^+)$.
143122
Showing that the square root is monotone
102138
Why does $\sqrt{x^2}$ seem to equal $x$ and not $|x|$ when you multiply the exponents?
34491
Is there a way to show that $\sqrt{p_{n}} < n$?