Advertisements
Advertisements
प्रश्न
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
उत्तर
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.
APPEARS IN
संबंधित प्रश्न
State whether the following statement is true or false. Justify your answer.
Every irrational number is a real number.
Examine, whether the following number are rational or irrational:
`sqrt3+sqrt2`
Examine, whether the following number are rational or irrational:
`sqrt5-2`
In the following equation, find which variables x, y, z etc. represent rational or irrational number:
t2 = 0.4
Which of the following is rational?
Check whether the square of the following is rational or irrational:
`3sqrt(2)`
Write the following in ascending order:
`2sqrt(5), sqrt(3) and 5sqrt(2)`
Insert a rational number and an irrational number between the following:
`1/3` and `1/2`
Given that `sqrt(3)` is irrational, prove that `5 + 2sqrt(3)` is irrational.
Prove that `3 - 2sqrt(5)` is an irrational number, given that `sqrt(5)` is an irrational number.