Question

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

Options

• `(sqrt(2) + sqrt(3))/2`

• `(sqrt(2) xx sqrt(3))/2`

• 1.9

• 1.6

Answer 1

A rational number between `sqrt(2)` and `sqrt(3)` is 1.6.

Explanation:

We know that `sqrt(2) ≈ 1.414` and `sqrt{3} ≈ 1.732`.

Any rational number lying between these two can be taken.

Among the options, 1.6 is a rational number and satisfies `sqrt(2) < 1.6 < sqrt(3)`.

Hence, 1.6 is a rational number between `sqrt(2)` and `sqrt(3)`.