The correct options are
B Add (4√3)2
D Subtract 8x√3
For making this expression a perfect square,
x2+8x√3=x2+2×4√3×x
(here the (4√3)2 term is missing which is required to make the expression a perfect square)
So, We should add (4√3)2
⇒x2+2×4√3×x+(4√3)2
⇒(x+4√3)2
So, if the term (4√3)2 is added, the expression x2+8x√3 becomes a perfect square.
Alternatively we can make the expression equal to x2 by subtracting the expression 8x√3.