1. The problem is to simplify the expression $$(\sqrt{5}+3)(\sqrt{5}-3)$$. 2. This is a product of conjugates, which follows the formula $$(a+b)(a-b) = a^2 - b^2$$. 3. Here, $a = \sqrt{5}$ and $b = 3$. 4. Applying the formula: $$ (\sqrt{5})^2 - 3^2 = 5 - 9 $$. 5. Simplify the result: $$ 5 - 9 = -4 $$. 6. Therefore, the simplified expression is $$-4$$. 7. The correct answer is option (2) -4.