Question 154232
I'll do the first three to get you started.


1) {{{-3*sqrt(50)=-3*5*sqrt(2)=-15*sqrt(2)}}}



2) {{{sqrt(18ab) * sqrt(6ab^3)=sqrt((18ab)(6ab^3))=sqrt(108a^2b^4)=6ab^2*sqrt(3)}}}


3) {{{sqrt(54)/sqrt(24)=(sqrt(54)/sqrt(24))(sqrt(24)/sqrt(24))=(sqrt(54)sqrt(24))/(sqrt(24)sqrt(24))=(sqrt(54)sqrt(24))/(24)=(3*sqrt(6)*2*sqrt(6))/(24)=(6*6)/24=36/24=3/2}}}