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**Q.1. Find six rational numbers between 1 and 2. Solution.** Let x = 1 and y = 2

â‡’ y > x

Here n = 6

âˆ´ The six rational numbers between 1 and 2 are: (x + d), (x + 2d), (x + 3d), (x + 4d), (x + 5d) and (x + 6d).**Q.2. Find five rational numbers between 0.6 and 0.8. Solution.**

Let x = 0.6 and y = 0.8

â‡’ y > x

Here, n = 5

âˆ´

Now, the five rational numbers between 0.6 and 0.8 are: (x + d), (x + 2d), (x + 3d), (x + 4d), and (x + 5d).

Thus, the required five rational numbers between 0.6 and 0.8 are:

**Q.3. If â€˜aâ€™ and â€˜bâ€™ are rational numbers and ****, ****then find the value of â€˜aâ€™ and â€˜bâ€™.Solution.**

Now

â‡’ a + bâˆš8 = 17 +6âˆš8

â‡’ a = 17 and b = 6

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