Question 195939
{{{sqrt(3)*(2+sqrt(12))}}} Start with the given expression.



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



{{{2*sqrt(3)+sqrt(3)*sqrt(12)}}} Rearrange the terms.



{{{2*sqrt(3)+sqrt(3*12)}}} Combine the roots.



{{{2*sqrt(3)+sqrt(36)}}} Multiply



{{{2*sqrt(3)+6}}} Take the square root of 36 to get 6



{{{6+2*sqrt(3)}}} Rearrange the terms.



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