Question 162039
{{{8*sqrt(3)-2*sqrt(2)+3*sqrt(2)+5*sqrt(3)}}} Start with the given expression



Let {{{x=sqrt(3)}}} and {{{y=sqrt(2)}}}


{{{8x-2y+3y+5x}}} Replace each {{{sqrt(3)}}} with "x" and replace each {{{sqrt(2)}}} with "y" 



{{{(8x+5x)+(-2y+3y)}}} Group like terms.



{{{13x+y}}} Combine like terms.



{{{13*sqrt(3)+sqrt(2)}}} Plug in {{{x=sqrt(3)}}} and {{{y=sqrt(2)}}}



{{{sqrt(2)+13*sqrt(3)}}} Rearrange the terms



So {{{8*sqrt(3)-2*sqrt(2)+3*sqrt(2)+5*sqrt(3)=sqrt(2)+13*sqrt(3)}}}