2√12+3√(1+1/3)-√(5+1/3)-2/3*√48
=4√3+3√(4/3)-√(16/3)-2/3*4√3
=4√3+3*2√(1/3)-4√(1/3)-2/3*4√3
=4√3+6√(1/3)-4√(1/3)-2/3*4√3
=4√3+6√3/3-4√3/3-8/3*√3
=4√3+2√3-4√3/3-8/3*√3
=6√3-4√3
=2√3
原式=4根号3+2根号3/3-4根号3/3-8根号3/3=2根号3/3-
等于2倍根号3
2倍根号3
2√12 + 3√4/3 -√16/3 -2√48 /3
=4√3 + 2√3 -4/3 *√3 -8/3 *√3
=(4+2-4/3-8/3) *√3
=2√3