Question

Сравнить числа 3√6 и 6√3

Answer 1

$3sqrt{6}=sqrt{3^{2}*6 }=sqrt{9*6}=sqrt{54}\\6sqrt{3}=sqrt{6^{2}*3 }=sqrt{36*3}=sqrt{108}\\sqrt{54}<sqrt{108}\\3sqrt{6}<6sqrt{3}$