(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.