Question 166502
{{{(2*sqrt(3) + 4*sqrt(2))-(4*sqrt(2) - 3*sqrt(3))}}} Start with the given expression



{{{2*sqrt(3) + 4*sqrt(2)-4*sqrt(2) + 3*sqrt(3)}}} Distribute the negative



{{{(2*sqrt(3)+ 3*sqrt(3) )+ (4*sqrt(2)-4*sqrt(2)) }}} Group like terms.



{{{5*sqrt(3)+ 0*sqrt(2) }}} Combine like terms.



{{{5*sqrt(3)+ 0 }}} Multiply



{{{5*sqrt(3) }}} Simplify



So {{{(2*sqrt(3) + 4*sqrt(2))-(4*sqrt(2) - 3*sqrt(3))=5*sqrt(3) }}}