Question 195938
{{{2(sqrt(3)+sqrt(12))}}} Start with the given expression.



{{{2*sqrt(3)+2*sqrt(12)}}} Distribute



{{{2*sqrt(3)+2*sqrt(4*3)}}} Factor



{{{2*sqrt(3)+2*sqrt(4)*sqrt(3)}}} Break up the square root



{{{2*sqrt(3)+2*2*sqrt(3)}}} Take the square root of 4 to get 2



{{{2*sqrt(3)+4*sqrt(3)}}} Multiply



{{{6*sqrt(3)}}} Combine like terms.



So {{{2(sqrt(3)+sqrt(12))=6*sqrt(3)}}}