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To determine which of the following options represents a rational number, let's evaluate each square root:

### A. \( \sqrt{3} \)
- \( \sqrt{3} \) is an **irrational number** since 3 is not a perfect square.

### B. \( \sqrt{\pi} \)
- \( \pi \) is an **irrational number**, and taking the square root of an irrational number will also be irrational.

### C. \( \sqrt{8} \)
- \( \sqrt{8} \) can be simplified as \( \sqrt{4 \times 2} = 2\sqrt{2} \). Since \( \sqrt{2} \) is irrational, this is **irrational**.

### D. \( \sqrt{\frac{3}{18}} \)
- Simplifying the fraction: \( \frac{3}{18} = \frac{1}{6} \), so \( \sqrt{\frac{1}{6}} \) is **irrational** because \( \sqrt{6} \) is irrational.

### E. \( \sqrt{\frac{25}{36}} \)
- This simplifies to \( \frac{\sqrt{25}}{\sqrt{36}} = \frac{5}{6} \), which is a **rational number**.

### Conclusion:
The correct answer is **E** \( \sqrt{\frac{25}{36}} \), since it simplifies to \( \frac{5}{6} \), a rational number.

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

Here are five related questions you might want to explore:
1. What is the definition of a rational number?
2. Can all square roots be simplified to rational numbers?
3. Why is \( \sqrt{2} \) considered irrational?
4. How do we simplify square roots of fractions?
5. What is the difference between rational and irrational numbers?

**Tip:** A rational number can always be expressed as a ratio of two integers, like \( \frac{5}{6} \).

Which of the following is a rational number? A. √3, B. √π, C. √8, D. √(3/18), E. √(25/36)

Learn how to determine which square root is a rational number. This problem involves simplifying square roots and understanding the difference between rational and irrational numbers. Suitable for students in Grades 8-10.

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