To express \( \sqrt{12} \) in its simplest radical form:

1. Begin by finding the prime factorization of 12:
   \[
   12 = 2^2 \times 3
   \]
2. Now break down \( \sqrt{12} \) using these factors:
   \[
   \sqrt{12} = \sqrt{2^2 \times 3}
   \]
3. Since \( 2^2 \) is a perfect square, you can take 2 out of the square root:
   \[
   \sqrt{12} = 2\sqrt{3}
   \]

Thus, the simplest radical form of \( \sqrt{12} \) is \( 2\sqrt{3} \).

Would you like more details on this, or do you have any questions?

Here are 5 related questions:
1. How would you simplify \( \sqrt{18} \)?
2. What is the simplest radical form of \( \sqrt{50} \)?
3. How do you simplify \( \sqrt{75} \)?
4. Can you simplify \( \sqrt{8} \) using the same method?
5. What is the value of \( 2\sqrt{3} \) to two decimal places?

**Tip:** When simplifying square roots, always look for the largest perfect square factor.

Learn how to simplify the square root of 12, breaking it down step-by-step into its simplest radical form. This example covers prime factorization and square root properties, making it perfect for students in Grades 6-8.

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