Question

Сравнить 1/2 корень 40 и 1/3 корень 54

Answer 1

$dfrac{1}{2}cdotsqrt{40}=sqrt{40cdot dfrac{1}{4}}=sqrt{10} \ dfrac{1}{3}cdot sqrt{54} =sqrt{dfrac{1}{9}cdot54}=sqrt{6} \ \ sqrt{10} > sqrt{6} Rightarrow dfrac{1}{2}cdotsqrt{40} >dfrac{1}{3}cdot sqrt{54}$