Question

Найдите значение выражения 3√5⋅√30⋅2√24.

Answer 1

$3sqrt{5}*sqrt{30}*2sqrt{24}=3sqrt{5}*sqrt{5*6}*2sqrt{4*6}=3sqrt{5}*sqrt{5}*sqrt{6}*2*2*sqrt{6}=3*2*2*(sqrt{5})^{2} *( sqrt{6})^{2} =12*5*6=360$