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Question
A rational number between `sqrt(2)` and `sqrt(3)` is ______.
Options
`(sqrt(2) + sqrt(3))/2`
`(sqrt(2) * sqrt(3))/2`
1.5
1.8
Solution
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.
- `(sqrt(2) + sqrt(3))/2`, which is an irrational number, so it is not a solution.
- `(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.
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