1）根号24-根号0.5+2*根号三分之二-根号八分之一加根号6
=2√6-（1/2)√2+(2/3)√6-(1/4)√2-√6
=(5/3)√6-(3/4)√2
2){2*根号2分之3-根号2分之1}*{2分之1*根号8+根号3分之2}
={√6-(1/2)√2}*{(1/2)√2+(1/3)√6}
=1/2*2√3+1/3*6-1/4*2-1/6*2√3
=√3+2-1/2-（1/3）√3
=(2/3)√3+3/2
3){3分之2*根号9x }+{6*根号4分之x}-2分之1*x*根号x分之1
={3分之2*3根号x }+{6*1/2*根号x}-2分之1*x*1/x*根号x
=2√x+3√x-1/2√x
=(9/2)√x