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Let's solve the questions one by one from the image.

### 2. a) Write down any rational number between 4 and 6.
A rational number is any number that can be expressed as the ratio of two integers (like fractions or whole numbers).
- An example of a rational number between 4 and 6 is **5** or **4.5**.

### 2. b) Write down any irrational number between 4 and 6.
An irrational number is a number that cannot be expressed as a ratio of two integers. Its decimal expansion goes on forever without repeating.
- An example of an irrational number between 4 and 6 is **√18**, since **√18 ≈ 4.24** and is irrational.

### 2. c) Find a rational number between √2 and √3.
We need to find a rational number between the approximations of √2 and √3.
- **√2 ≈ 1.414**, and **√3 ≈ 1.732**.
A rational number between them could be **1.5** or **1.6**.

### 2. d) Write down any rational number between π and √10.
We need a rational number between **π ≈ 3.1416** and **√10 ≈ 3.1623**.
- A rational number between them could be **3.15**.

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### Related Questions:
1. What is the difference between rational and irrational numbers?
2. How do you approximate irrational numbers like √2 and √3?
3. Can every number between two irrational numbers be rational?
4. What are some methods for finding rational approximations of π?
5. Why can't irrational numbers be expressed as fractions?

**Tip:** When approximating irrational numbers, it's useful to know a few key square roots like √2 ≈ 1.414 and √3 ≈ 1.732 to help find rational numbers between them.

Write down any rational and irrational numbers between certain intervals as provided in the image.

This problem involves identifying rational and irrational numbers between given intervals, such as 4 and 6, and between square roots. Learn how to approximate irrational numbers like √2 and √3 and find rational numbers between them.

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