Question 104103
{{{(8+sqrt( 3))(8- sqrt( 3))}}} Start with the given expression




{{{8*8-8*sqrt( 3)+8*sqrt( 3)-sqrt( 3)sqrt( 3)}}} Foil




{{{8*8+cross(-8*sqrt( 3)+8*sqrt( 3))-sqrt( 3)sqrt( 3)}}} Notice the terms {{{8sqrt(3)}}} and {{{-8sqrt(3)}}} add and cancel out to zero




{{{64-3}}} Multiply 8*8 to get 64. Multiply {{{sqrt(3)sqrt(3)}}} to get 3




{{{61}}} Combine like terms