If x=2+32-√3, then x2(x-4)2=
7
4
2
1
Explanation for the correct option.
Step 1: Simplify x
x=2+32-√3×2+32+3=2+324-3=2+32=2+3
Step 2: Find the value of x2(x-4)2
x2(x-4)2=xx-42=2+32+3-42=2+33-22=23-4+3-232=-12=1
Hence, option D is correct.