(3√6)² 18

To simplify \((3\sqrt{6})^2\), you can follow these steps: 1. Apply the power of a product rule, which states that \((ab)^2 = a^2b^2\). 2. Here, \(a = 3\) and \(b = \sqrt{6}\). So, \[ (3\sqrt{6})^2 = 3^2 \cdot (\sqrt{6})^2 \] Calculating each part: - \(3^2 = 9\) - \((\sqrt{6})^2 = 6\) Now, combine the results: \[ (3\sqrt{6})^2 = 9 \cdot 6 = 54 \] Thus, \((3\sqrt{6})^2 = 54\). Your statement that it equals 18 is incorrect; the correct answer is 54.