How does $\sqrt{2}^{\log n}$ become $n^{\log \sqrt{2}}$
115799
Proving $x^{\log n} = n^{\log x}$
29578
Why is $\binom{2n}{n} \asymp \Theta \big(\frac{2^{2n}}{\sqrt{n}}\big)$?
66364
Why is $(\sqrt{2}+\sqrt{3})^{2008}$ so close to an integer?
36664
How is the square root function implemented?
1570
Show that log $Fib_{n}$ is $\theta(n)$
84930
How to justify $\phi(n) \ge \sqrt{n}$
142768
Approximation of $\sqrt{2}$
59475
Show that $\sqrt{n+1}-\sqrt{n}\to0$
100947
Prove that $\sqrt[n]{n!}$ is increasing and diverges
151226
Why is the sequence $x(n) = \log n$ **not** Cauchy?
17707
Why is ${x^{\frac{1}{2}}}$ the same as $\sqrt x $?
82630
How is it, that $\sqrt{x^2}$ is not $ x$, but $|x|$?
11069
Deciding whether $2^{\sqrt2}$ is irrational/transcendental
50930
Proving the continued fraction representation of $\sqrt{2}$
107142
If $(x_n) \to x$ then $(\sqrt[n]{x_1x_2\cdots x_n}) \to x$
1522
Is $\sqrt{64}$ considered $8$? or is it $8,-8$?
38549
$\mathbb{Q}(\sqrt{n}) \cong \mathbb{Q}(\sqrt{m})$ iff $n=m$