New posts in Number Comparison

Which is larger? $20!$ or $2^{40}$?

Prove that: $ \cot7\frac12 ^\circ = \sqrt2 + \sqrt3 + \sqrt4 + \sqrt6$

Prove $2^{135}+3^{133}<4^{108}$

Prove that $\sqrt{7}^{\sqrt{8}}>\sqrt{8}^{\sqrt{7}}$

Showing $\sqrt{2}\sqrt{3} $ is greater or less than $ \sqrt{2} + \sqrt{3} $ algebraically

Simple proof that $8\left(\frac{9}{10}\right)^8 > 1$

Which one is bigger $2^{n!}$ or $(2^{n})!$?