计算:(1)3根号2倍2/3乘以(-1/8根号15)除以1/2根号2/5 (2)(根号24-根号1/2)-(根号1/8+根号6)
问题描述:
计算:(1)3根号2倍2/3乘以(-1/8根号15)除以1/2根号2/5 (2)(根号24-根号1/2)-(根号1/8+根号6)
(3)2ab根号a平方b乘以3根号a/b除以1/2根号1/a
答
不大看得清:
(1)3根号2倍2/3乘以(-1/8根号15)除以1/2根号2/5
=-3√(8/3)×(1/8)√15×2√(5/2)
=-(3/4)√[(8/3)×15×(5/2)]
=-(3/4)×2×5
=-15/2
(2)(根号24-根号1/2)-(根号1/8+根号6)
=2√6-(1/2)√2-(1/4)√2-√6
=√6-(3/4)√2
(3)2ab根号a平方b乘以3根号a/b除以1/2根号1/a
=(2ab×3×2)√[(a²b)×(a/b)×a]
=12ab×a²
=12a³b