To simplify \( \sqrt{54} \), follow these steps:

1. **Find the prime factors of 54:**
   \[
   54 = 2 \times 3^3
   \]

2. **Group the prime factors:**
   \[
   \sqrt{54} = \sqrt{2 \times 3^2 \times 3}
   \]

3. **Take the square root of the perfect square (which is \( 3^2 \)):**
   \[
   \sqrt{54} = \sqrt{3^2 \times 6} = 3\sqrt{6}
   \]

Thus, the simplified form of \( \sqrt{54} \) is:
\[
3\sqrt{6}
\]

Would you like a more detailed explanation or have any questions?

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Here are some related questions you might find interesting:
1. How would you simplify \( \sqrt{72} \)?
2. Can you simplify \( \sqrt{75} \)?
3. What is the value of \( \sqrt{48} \) in simplest radical form?
4. How do you simplify \( \sqrt{98} \)?
5. Can you simplify \( \sqrt{200} \)?

**Tip:** To simplify a square root, always look for the largest perfect square that divides the number under the root.

Learn how to simplify the square root of 54 using prime factorization. This detailed explanation breaks down the problem into easy steps, including grouping factors and simplifying radicals. Perfect for students in Grades 8-10.

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