The correct option is B 950
Formula (1+x)n=knCo+nC1x+nC2x2+....+nCkx4+....+nCnxn =n∑k=0 nCkxn
(√3−√2)6=(√3)6−6(√3)5(√2)+15(√3)4(√2)2−⋯ −6(√3)(√2)5+(√2)6 ....... (i)
(√3+√2)6=(√3)6+6(√3)5(√2)+15(√3)4+(√2)2+⋯ +6(√3)(√2)5+(√2)6 ...... (ii)
Adding eqn (i) and (ii), we get
=1(√3)6+2(15√3)4(√22+2×15(√3)2(√2)4+2(√2)6
=2[33+15×32×2+15×3×22+2×23]
=2[9+270+196]
=950