C
Expression = (√3 + 1) (10 + √12) (√12 – 2) (5 – √3)
= (√3 + 1) (10 + 2 √3) (2 √3 – 2) (5 – √3)
= (√3 + 1) × 2(5 + √3) × 2(√3 – 1)(5 – √3)
= 4(√3 + 1)(√3 – 1)(5 – √3)(5 + √3)
= 4(3 – 1) (25 – 3)
[(a + b)(a – b) = a
2 – b
2]
= 4 × 2 × 22 = 176.
Hence, option C is correct.