Question

A rational number between `sqrt(2)` and `sqrt(3)` is ______.

Options

• 1.4

• 1.35

• 1.5

• 1.8

Answer 1

A rational number between `sqrt(2)` and `sqrt(3)` is 1.5.

Explanation:

We need to find a rational number between `sqrt(2)` and `sqrt(3)`.

• `sqrt{2} ≈ 1.414`
• `sqrt{3} ≈ 1.732`

Among the options given: 1.4, 1.35, 1.5 and 1.8, only 1.5 lies between 1.414 and 1.732.

Hence, 1.5 is a rational number between `sqrt(2)` and `sqrt(3)`.