To find the perimeter of a square, we use the formula:
\[ \text{Perimeter} = 4 \times \text{side length} \]
In this case, the side length of the square is given as \(2\sqrt{12}\).
First, we calculate the perimeter:
\[ \text{Perimeter} = 4 \times (2\sqrt{12}) \]
Now, simplify the expression:
\[ = 8\sqrt{12} \]
Next, we can simplify \(\sqrt{12}\):
\[ \sqrt{12} = \sqrt{4 \times 3} = \sqrt{4} \cdot \sqrt{3} = 2\sqrt{3} \]
Now substituting this back into the perimeter calculation:
\[ 8\sqrt{12} = 8 \times 2\sqrt{3} = 16\sqrt{3} \]
The perimeter of the square in simplest radical form is:
\[ \boxed{16\sqrt{3}} \]
Thus, the correct answer is C. \(16\sqrt{3}\).