Sieve of Eratosthenes : why can we stop at the $\sqrt n$?
112319
Sieve of Eratosthenes : why $\sqrt n$ work?
31836
Proof of $\lim_{n\to \infty} \sqrt[n]{n}=1$
47325
Limit of quotients with square roots: $\lim_{x\to2} \frac{\sqrt{6-x}-2}{\sqrt{3-x}-1}$
106716
The sum of square roots of non-perfect squares is never integer
34491
Is there a way to show that $\sqrt{p_{n}} < n$?
54952
Is it true that $\limsup\sqrt[n]{|a_n|}=\limsup\sqrt[n]{|a_n-a_{n-1}|}$, ($n>1$), where $\{a_n\}$ does not have a finite limit?
12031
Asymptotic behavior of the sequence $a_n=\sqrt{n+a_{n-1}}$
14633
What's the thing with $\sqrt{-1} = i$
140949
Proving that for each prime number $p$, the number $\sqrt{p}$ is irrational
69309
How do I simplify and evaluate the limit of $(\sqrt x - 1)/(\sqrt[3] x - 1)$ as $x\to 1$?
105064
What is wrong with this fake proof that $\lim\limits_{n\rightarrow \infty}\sqrt[n]{n!} = 1$?
126471
At least one prime between $\sqrt{n}$ and $n$?
86653
Elementary question about the limit $\big( 1 - \frac 1 {\sqrt n}\big )^n$, $n\to\infty$.
50041
Significance of $\sqrt[n]{a^n} $?!
109305
Non-existence of natural numbers such that $\sqrt{n} +\sqrt{n+1} <\sqrt{x} +\sqrt{y} <\sqrt{4n+2}$
49368
Why does factoring eliminate a hole in the limit?
155513
I need help to advance in the resolution of that limit: $ \lim_{n \to \infty}{\sqrt[n]{\frac{n!}{n^n}}} $