Question

Qual é o maior ? 5√64 ou 2 5√2​

Answer 1

$5\sqrt{64}=\sqrt{64\cdot5^2}=\sqrt{64\cdot25}=\sqrt{1600}\\\\25\sqrt{2}=\sqrt{2\cdot25^2}=\sqrt{2\cdot625}=\sqrt{1250}\\\\1600>1250\to\sqrt{1600}>\sqrt{1250}\to5\sqrt{64}>25\sqrt{2}$