Compare: Which is bigger? $3^{\sqrt2}$ or $2^{\sqrt 3}$
12743
$\bigodot=?$ for $(\sqrt 2) ^ \sqrt 3 \bigodot (\sqrt 3) ^ \sqrt 2$ where $\bigodot is \lt or \gt$
50041
Significance of $\sqrt[n]{a^n} $?!
37189
Exponent of a number is a square root?
82630
How is it, that $\sqrt{x^2}$ is not $ x$, but $|x|$?
141799
Is $2^{|\mathbb{N}|} = |\mathbb{R}|$?
43659
Why is $\pi$ so close to $3$?
32760
Is $\mathbf{Q}(\sqrt{2}, \sqrt{3}) = \mathbf{Q}(\sqrt{2}+\sqrt{3})$?
103496
Show that $3p^2=q^2$ implies $3|p$ and $3|q$
142768
Approximation of $\sqrt{2}$
45218
Comparing the two cardinals $\aleph_0^{\aleph_0}$ and $2^{\aleph_0}$
90276
Is $\sqrt{2}\in{\Bbb Z}[\sqrt{2}+\sqrt{3}]$ true?
84017
Is $\sqrt[3]{2}$ contained in $\mathbb{Q}(\zeta_n)$?
71767
What is the difference between $\Bbb{R^n}\times\Bbb{R^m}$ and $\Bbb{R^{m+n}}$?
9302
Questions about Divisibility of $2^n$ by $3$
67356
When is $2^x+3^y$ a perfect square?
17707
Why is ${x^{\frac{1}{2}}}$ the same as $\sqrt x $?
156541
$a^b > b^a$ or $a^b b$ where $a,b$ are positive real numbers