We can simplify \( 4\sqrt{18} \) step by step:

1. Start by simplifying the square root of 18:
   \[
   \sqrt{18} = \sqrt{9 \times 2} = \sqrt{9} \times \sqrt{2} = 3\sqrt{2}
   \]

2. Now, multiply by 4:
   \[
   4\sqrt{18} = 4 \times 3\sqrt{2} = 12\sqrt{2}
   \]

So, the simplified expression is \( 12\sqrt{2} \).

Would you like more details or have any questions?

Here are 5 related questions:
1. How would you simplify \( 5\sqrt{50} \)?
2. What is the simplified form of \( 3\sqrt{32} \)?
3. Can you simplify \( 6\sqrt{72} \)?
4. How do you simplify \( 7\sqrt{20} \)?
5. What is the process to simplify \( 2\sqrt{45} \)?

**Tip:** When simplifying square roots, look for perfect square factors (like 4, 9, 16, etc.) to factor out.

This page provides a detailed solution for simplifying the expression 4√18 using the product property of square roots. The step-by-step guide shows how to break down √18 into √9 and √2, resulting in the simplified form 12√2. This problem is suitable for students in Grades 6-8 who are learning about radical simplification.

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