The expression \( 3\sqrt{54} \) can be simplified as follows:

1. Break down the square root:
   \[
   \sqrt{54} = \sqrt{9 \times 6} = \sqrt{9} \times \sqrt{6} = 3\sqrt{6}
   \]

2. Multiply by the 3 outside the square root:
   \[
   3\sqrt{54} = 3 \times 3\sqrt{6} = 9\sqrt{6}
   \]

So, the simplified form of \( 3\sqrt{54} \) is \( 9\sqrt{6} \).

Would you like more details on this simplification process?

Here are 5 related questions to explore:
1. How do you simplify square roots with prime factors?
2. What are other ways to express square roots with non-perfect squares?
3. How do you add or subtract expressions with square roots?
4. How do you multiply and divide expressions involving square roots?
5. What are some real-world applications of simplifying radicals?

**Tip:** When simplifying square roots, always look for perfect square factors to make the process easier.

Learn how to simplify the expression 3√54 step by step. This problem focuses on breaking down square roots and applying properties of radicals, suitable for students in Grades 6-8. Explore key formulas for simplifying radicals and multiplying expressions with square roots.

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