Advertisements
Advertisements
प्रश्न
A rational number between `sqrt(2)` and `sqrt(3)` is ______.
पर्याय
`(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
Prove that the following is irrational:
`1/sqrt2`
Examine, whether the following number are rational or irrational:
`sqrt4`
Give two rational numbers lying between 0.515115111511115... and 0.535335333533335...
Give an example of two irrational numbers whose:
quotient is an irrational number.
Prove that of the numbers `2 -3 sqrt(5)` is irrational:
State whether the given statement is true or false:
1 .The product of two irrationals is an irrational .
Which of the following is irrational?
The product of a non-zero rational and an irrational number is ______.
Prove that `3 - 2sqrt(5)` is an irrational number, given that `sqrt(5)` is an irrational number.
Prove that `(2-sqrt3)/5` is an irrational number, given that `sqrt 3` is an irrational number.
