根号30乘3/2根号2又2/3除2倍根号2又1/2等于多少?题目是√30X3/2√2又2/3除以2√2又1/2

问题描述:

根号30乘3/2根号2又2/3除2倍根号2又1/2等于多少?
题目是√30X3/2√2又2/3除以2√2又1/2

原式
=√30×3/2√(8/3)÷√(5/2)
=3/2×√[30×8/3÷(5/2)]
=3/2×√32
=3/2×4√2
=6√2

√30X(3/2)√2(2/3)÷2√2(1/2)
=√30X(3/2)√8/3÷2√5/2
=(3/2)×(1/2)√30×(8/3)×(2/5)
=3/4√32
=3√2