(√18-√27)÷√6+8√1/2
=√18÷√6-√27÷√6+8√(1/2)
=√3-√(9/2)+8√(1/2)
=√3-3√(1/2)+8√(1/2)
=√3+5√(1/2)
=√3+5√(2/4)
=√3+(5/2)√2
x*[(35-x)/2]=150
x(35-x)=150*2=300
35x-x^2=300
x^2-35x+300=0
(x-20)(x-15)=0
x=20,x=15
1.=(3√2-3√3)/√6+8*√2/2
=√6(3√2-3√3)/6+4√2
=(3√2-3√3)/2+4√2
=11√2/2-3√3/2
2.x^2-35x+250=0
△=35^2-4*250
=15
x=(35±√15)/2