根号48-根号27/2 (3-根号3)(1+1/根号3)

√48-√27/2(3-√3)(1+1/√3)
=4√3-3/2√3×(3-√3)(√3+1)/√3
=4√3-3/2×(3-√3)(√3+1)
=4√3-√3/2×(3-√3)(3+√3)
=4√3-√3/2×(9-3)
=4√3-3√3
=√3