1. The problem is to simplify the expression $$(8 - \sqrt{11})(8 + \sqrt{11})$$. 2. This is a product of conjugates, which follows the formula $$(a - b)(a + b) = a^2 - b^2$$. 3. Here, $a = 8$ and $b = \sqrt{11}$. 4. Applying the formula: $$8^2 - (\sqrt{11})^2 = 64 - 11 = 53$$. 5. Therefore, the simplified result is $53$. 6. The correct answer is option D: 53.