√3 *(9/√54-4/√24)-√2*(8/√96-18/√216)+ 1/2*(√12-√32)=
=√3 *(9/3√6-4/2√6)-√2*(8/4√6-18/6√6)+ 1/2*(2√3-4√2)=
=√3 *(3/√6-2/√6)-√2*(2/√6-3/√6)+ √3-2√2=
=√3 *1/√6-√2*(-1/√6)+ √3-2√2=
=1/√2+1/√3+ √3-2√2=
=√2/2+√3/3+ √3-2√2=
=(3√2+2√3+ 6√3-12√2)/6=
=(8√3-9√2)/6