Question 95312
{{{(1+sqrt(3))^2}}} Start with the given expression

{{{(1+sqrt(3))(1+sqrt(3))}}} Expand {{{(1+sqrt(3))^2}}} to get {{{(1+sqrt(3))(1+sqrt(3))}}}


{{{1*1+1*sqrt(3)+1*sqrt(3)+sqrt(3)*sqrt(3)}}} Foil 


{{{1+sqrt(3)+sqrt(3)+3}}} Multiply (note: {{{sqrt(3)*sqrt(3)=(sqrt(3))^2=3}}} 


{{{2sqrt(3)+4}}} Combine like terms



{{{2(sqrt(3)+2)}}} Factor out the GCF 2