To calculate the square root of 6.25, you can follow these steps:

### 1. **Understand the problem:**
   You are trying to find the number which, when multiplied by itself, gives 6.25.

### 2. **Exact Calculation:**
   Since 6.25 is a perfect square, its square root can be determined directly.
   \[
   \sqrt{6.25} = 2.5
   \]

### 3. **Manual Calculation (Estimation Method):**
   If you don’t recognize that 6.25 is a perfect square, you can use estimation:
   
   - **Step 1:** Identify the perfect squares closest to 6.25. They are 4 (since \(2^2 = 4\)) and 9 (since \(3^2 = 9\)).
   - **Step 2:** Since 6.25 is closer to 4, start with an estimate slightly greater than 2.
   - **Step 3:** Try 2.5:
     \[
     2.5 \times 2.5 = 6.25
     \]
     Therefore, the square root of 6.25 is indeed 2.5.

### 4. **Using a Calculator:**
   On a calculator, you can directly input \( \sqrt{6.25} \), and it will return 2.5.

Would you like to explore more on this topic or have any further questions?

Here are some additional questions related to square roots:
1. How do you find the square root of a non-perfect square like 7?
2. What is the relationship between squares and square roots?
3. How can you approximate square roots manually for larger numbers?
4. How do you simplify square roots of fractions, like \(\sqrt{\frac{9}{16}}\)?
5. What are some real-world applications of square roots?

**Tip:** If you ever need to estimate a square root and don’t have a calculator, remember that you can use the average of nearby numbers as an approximation method.

Learn how to calculate the square root of 6.25 with a detailed step-by-step guide. Understand the concept of square roots, estimation methods, and perfect squares. Suitable for Grades 6-8.

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