1. The problem is to simplify the expression \(\sqrt{x}16\). 2. First, clarify the expression: it likely means \(16\sqrt{x}\) or \(\sqrt{16x}\). We will consider both cases. 3. Case 1: \(16\sqrt{x}\) means 16 times the square root of \(x\). This is already simplified unless \(x\) is known. 4. Case 2: \(\sqrt{16x}\) means the square root of the product \(16x\). 5. Use the property of square roots: \(\sqrt{ab} = \sqrt{a} \times \sqrt{b}\). 6. So, \(\sqrt{16x} = \sqrt{16} \times \sqrt{x} = 4\sqrt{x}\). 7. Therefore, if the expression is \(\sqrt{16x}\), it simplifies to \(4\sqrt{x}\). Final answer depends on interpretation: - If \(16\sqrt{x}\), answer is \(16\sqrt{x}\). - If \(\sqrt{16x}\), answer is \(4\sqrt{x}\).