Question

(4 - √3/√3 + 2√3 - 3/√12) • (2/√6 + 3√6/2 - 12√2/4√3)​

Answer 1

(4-1+2√3-3/2√3)•(2√6/6+3√6/2-12√2•√3/4•3)=
(3+2√3-3√3/2•3)•(2•2√6/6•2+6•3√6/2•6-12√6/12)=
(3+6•2√3/6-3√3/6)•(4√6/12+18√6/12-12√6/12)=
(3+12√3/6-3√3/6)•10√6/12
=(3•6/6+9√3/6)•5√6/6=(18+9√3)/6•5√6/6=
(90√6+45√18)/36=(90√6+45•3√2)/36=
(90√6+135√2)36=(30√6+45√2)/12