Autorizado por:
2.828

Co
C) 7 < V8 < 9 D) 16 < V8 < 81
B） 3 <J8 <4
A) 2 < V8 < 3
21. 

It seems like you're looking for help with a math problem related to comparing the square root of 8 (\( \sqrt{8} \)) to different ranges. Let's analyze each of the options given and see which one correctly describes the interval that \( \sqrt{8} \) falls into:

### Step 1: Calculate \( \sqrt{8} \)
\[ \sqrt{8} = \sqrt{4 \times 2} = 2\sqrt{2} \approx 2.828 \]

### Step 2: Compare \( \sqrt{8} \) with the given options:
1. **Option A**: \( 2 < \sqrt{8} < 3 \)
   - \( 2.828 \) is greater than 2 and less than 3. This is **true**.

2. **Option B**: \( 3 < \sqrt{8} < 4 \)
   - \( 2.828 \) is less than 3, so this is **false**.

3. **Option C**: \( 7 < \sqrt{8} < 9 \)
   - \( 2.828 \) is less than 7, so this is **false**.

4. **Option D**: \( 16 < \sqrt{8} < 81 \)
   - \( 2.828 \) is less than 16, so this is **false**.

### Conclusion
The correct option is:
- **A) \( 2 < \sqrt{8} < 3 \)**

Let me know if you need further clarification or more details on this problem!

### Related Questions:
1. What is the value of \( \sqrt{2} \) approximately?
2. How can you approximate square roots of non-perfect squares without a calculator?
3. What properties of square roots can help compare them to integers?
4. Why is \( \sqrt{8} = 2\sqrt{2} \)?
5. What are some other values close to \( \sqrt{8} \)?

### Tip:
When comparing square roots, try squaring the values to check if they fall between the given ranges.

Autorizado por:
2.828
Co
C) 7 < V8 < 9
D) 16 < V8 < 81
B） 3 <J8 <4
A) 2 < V8 < 3
21.

Analyze how the square root of 8 (√8 ≈ 2.828) compares to different intervals with step-by-step explanations. Understand the properties of square roots and inequalities. Suitable for students in Grades 6-8.

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