3分之一根号72乘5倍的根号25分之3等于?

题目

3分之一根号72乘5倍的根号25分之3等于?

答案

原式=1/3√72×5√(3/25)
=(1/3×5)×√(72×3/25)
=5/3×√(216/25)
=5/3×√(36/25×6)
=5/3×√[(6/5)²×6]
=5/3×6/5×√6
=2√6