1. State the problem: Calculate $$\sqrt{5 + 13}^2 \times (4 - \sqrt{16})$$ using the order of operations. 2. Simplify inside the square root: $$5 + 13 = 18$$, so the expression becomes $$\sqrt{18}^2 \times (4 - \sqrt{16})$$. 3. Simplify $$\sqrt{18}^2$$: Since squaring and square root are inverse operations, $$\sqrt{18}^2 = 18$$. 4. Simplify $$\sqrt{16}$$: $$\sqrt{16} = 4$$. 5. Substitute back: The expression is now $$18 \times (4 - 4)$$. 6. Calculate inside the parentheses: $$4 - 4 = 0$$. 7. Multiply: $$18 \times 0 = 0$$. Final answer: $$0$$.