(1)3x﹣4≥0→x≥4/3
(2)2+2x/3≥0→x≤﹣3
(1)√(14/35)=√(2/5)=√10/5
(2)√52+2√13=2√13+2√13=4√13
(3)5√24/2﹣3√(2/3)=5√6﹣√6=4√6
(4)√3(√12+5√8)=√3(2√3+10√2)=6+10√6
(5)√a²√(b/a)=|a|√(b/a).当a>0时原式=√ab,当a<0时原式=﹣√ab
(6)5√a²﹣√(4a²)=5a﹣2a=3a
(7)√12/√3﹣√6=2﹣√6
(8)(√m/2+√n/3)(√m/2﹣√n/3)=|m|/4﹣|n|/9.当m≥0且n≥0时原式=m/4﹣n/9,当m≤0且n≤0时原式=n/9﹣m/4,当m≥0且n≤0时原式=m/4+n/9,当m≤0且n≥0时原式=﹣m/4﹣n/9