Question

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

विकल्प

• `(sqrt(2) + sqrt(3))/2`

• `(sqrt(2) * sqrt(3))/2`

• 1.5

• 1.8

Answer 1

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

Explanation:

A rational number between `(sqrt(2)  "and"  sqrt(3))` i.e., 1.414 and 1.732.

1. `(sqrt(2) + sqrt(3))/2`, which is an irrational number, so it is not a solution.
2. `(sqrt(2) * sqrt(3))/2 = sqrt(6)/2`, which is an irrational number, so it is not a solution.

Now, 1.5 and 1.8 both are the rational numbers but only 1.5 lies between 1.414 and 1.732.