Question

Сравните √2+√3 и √30-√3. С объяснением.

Answer 1

$\sqrt{2}+\sqrt{3}=0.1*(\sqrt{200}+\sqrt{300})<$
$<0.1\sqrt{225}+\sqrt{324}=0.1*(15+18)=0.1*33=3.3<$
$<3.6=0.1*(54-18)=0.1*(\sqrt{2916}-\sqrt{324})<$
$<01.*(\sqrt{3000}-\sqrt{300})=\sqrt{30}-\sqrt{3}$
=====================>
$\sqrt{2}+\sqrt{3}<\sqrt{30}-\sqrt{3}$