Rewrite each expression below in simple radical form.  $$ \text{Question }1\text{: }3\sqrt{24} $$

To simplify the radical expression $ 3\sqrt{24} $, follow these steps:

1. **Factorize 24**:  
   \[
   24 = 4 \times 6
   \]
   Since $ 4 = 2^2 $, you can express $ \sqrt{24} $ as:
   \[
   \sqrt{24} = \sqrt{4 \times 6} = \sqrt{4} \times \sqrt{6}
   \]

2. **Simplify the square root of 4**:  
   \[
   \sqrt{4} = 2
   \]
   Therefore:
   \[
   \sqrt{24} = 2\sqrt{6}
   \]

3. **Multiply by the coefficient** $ 3 $:
   \[
   3\sqrt{24} = 3 \times 2\sqrt{6} = 6\sqrt{6}
   \]

Thus, the simplified form of $ 3\sqrt{24} $ is $ \boxed{6\sqrt{6}} $.

Would you like further details or have any questions?

Here are five related questions to explore:
1. How do you simplify $ 4\sqrt{50} $?
2. What is the simplified form of $ 7\sqrt{72} $?
3. How would you simplify $ 5\sqrt{45} $?
4. What is the simplified form of $ 8\sqrt{18} $?
5. How do you simplify $ 2\sqrt{98} $?

**Tip**: When simplifying radicals, always look for perfect square factors of the number under the square root.

Rewrite each expression below in simple radical form.  $$ \text{Question }1\text{: }3\sqrt{24} $$

Learn how to simplify the radical expression 3√24 with a detailed step-by-step solution. This problem involves simplifying square roots through factorization and multiplication. Suitable for students in Grades 7-9, covering key concepts like radical simplification and perfect square factorization.

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