Find the closest number of the form $a+b\sqrt2$
31295
$x+y\sqrt{2}$ infimum ($x,y\in \mathbb{Z}$)
148163
Show that if m/n is a good approximation of $\sqrt{2}$ then $(m+2n)/(m+n)$ is better
144568
How closely can we estimate $\sum_{i=0}^n \sqrt{i}$
53411
Minimum of $\sqrt{\frac{a}{b+c}}+\sqrt{\frac{b}{c+a}}+\sqrt{\frac{c}{a+b}}$
102180
Rounding integers to nearest multiple of 10
134159
Smallest value of $a^2 + b^2 + c^2+ d^2$, given values for $(a+b)(c+d)$, $(a+c)(b+d)$, and $(a+d)(b+c)$
44790
Find $n$ for which $\frac{n(n+1)}{2}$ is perfect square
80551
Find Units in $\mathbb{Z}[\sqrt{n}]$
47575
Compute the limit of $\sqrt{1-a}\sum\limits_{n=0}^{+\infty} a^{n^2}$ when $a\to1^-$
62463
A pencil approach to find $\sum \limits_{i=1}^{69} \sqrt{\left( 1+\frac{1}{i^2}+\frac{1}{(i+1)^2}\right)}$
145595
$\text{Let }y=\sqrt{5+\sqrt{5-\sqrt{5+\sqrt{5-...}}}} $, what is the nearest value of $y^2 - y$?
100492
Fastest Square Root Algorithm
41533
Finding three elements in an array whose sum is closest to a given number
71591
Formula for completing the square?
50930
Proving the continued fraction representation of $\sqrt{2}$
93572
How to determine if $n (n \geq 2)$ given numbers can be summed up to a certain number?
20055
Find minimum value of $\sum \frac{\sqrt{a}}{\sqrt{b}+\sqrt{c}-\sqrt{a}}$