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The given problem involves the square root of the expression:

\[
\frac{0.081}{0.0064} \times \frac{0.484}{6.25} \times \frac{2.5}{12.1}
\]

Let's first simplify this expression and then take its square root.

### Step 1: Simplify the fractions
\[
\frac{0.081}{0.0064}, \quad \frac{0.484}{6.25}, \quad \frac{2.5}{12.1}
\]

### Step 2: Multiply the simplified results together.

### Step 3: Take the square root of the final product. Let's calculate that now.The square root of the given expression is \( 0.45 \), which corresponds to option **A**.

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

Here are 5 related questions to expand your understanding:

1. What is the process for simplifying a complex fraction step by step?
2. How do you estimate square roots for non-perfect squares without a calculator?
3. What are some practical applications of expressions involving square roots in real life?
4. How would the answer change if one of the numerators or denominators was altered slightly?
5. Can the result of this calculation be expressed as a fraction or repeating decimal?

**Tip:** Always ensure that the units match when solving real-world problems, especially in physics or engineering contexts!

Square root of (0.081/0.0064) × (0.484/6.25) × (2.5/12.1) is _____

Learn how to solve the square root of a product of fractions involving decimals like (0.081/0.0064) × (0.484/6.25) × (2.5/12.1). This problem covers key mathematical concepts like fraction simplification, multiplication, and square roots. Suitable for students in Grades 9-11.

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