Which expression is equivalent to the given expression? 2√4 ⋅ 3√30
A. 12√30
B. 24√30
C. 3√20
D. √120

To solve the expression \(2\sqrt{4} \cdot 3\sqrt{30}\), let's break it down step by step.

1. **Simplify \(\sqrt{4}\):**

   \[
   \sqrt{4} = 2
   \]

2. **Substitute the simplified value back into the expression:**

   \[
   2 \cdot 2 \cdot 3\sqrt{30} = 4 \cdot 3\sqrt{30}
   \]

3. **Multiply the coefficients:**

   \[
   4 \cdot 3 = 12
   \]

   So the expression simplifies to:

   \[
   12\sqrt{30}
   \]

The expression \(12\sqrt{30}\) corresponds to option **A**.

**Answer: A. \(12\sqrt{30}\)**

Would you like further details or have any questions? Here are some related questions to consider:

1. How do you simplify expressions involving square roots?
2. What is the general approach for multiplying radicals?
3. Can you multiply radicals directly, or must you simplify first?
4. How does multiplying coefficients affect the radical expression?
5. What are common mistakes when working with radical expressions?

**Tip:** Always simplify square roots before performing multiplication or other operations to make the calculations easier.

Learn how to simplify the expression 2√4 ⋅ 3√30 step-by-step. Understand the process of simplifying square roots and multiplying radicals. Suitable for students in Grades 7-9.

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