化简,3ab√a²b³÷5√b/a×2/5√a/b

问题描述:

化简,3ab√a²b³÷5√b/a×2/5√a/b

∵a²b³≥0∴b≥0∵b/a≥0,a/b≥0,a≠0,b≠0∴a﹥0,b﹥0原式=3ab√(a²b³)÷5√(b/a)×2/5√(a/b)=3ab÷5×2/5×√(a²b³÷b/a×a/b)=(6ab/25)×√(a²b³×a/b×a/b)=(6ab/25)...