If you calculate those square roots, you can count the integers in between pretty fast.
There are infinitely many numbers. Amongst them are4.980000000000000000001, 4.980000000000000000001200000003, sqrt(24.8005).
There are no rational numbers between sqrt(-26) and sqrt(-15). The interval comprises purely imaginary numbers.
There are infinitely many such numbers. One such is sqrt(1000) = approx 31.62
No, some numbers, eg sqrt 2, are irrational, which means they cannot be written as a ratio between two whole numbers. Some numbers are also transcendental, but you don't want to go there!
The difference can be rational or irrational.5 + sqrt(3) and 2 + sqrt(3) are both irrational numbers but their difference is[5 + sqrt(3)] - [2 + sqrt(3)] = 3, which is rational.
0 and 1 are consecutive whole numbers that lie between -sqrt(124) and +sqrt(124).
There are many. One example is -sqrt(175) < -3 < -2 < +sqrt(175)
10 and 11 sqrt 100 =10 sqrt 121 = 11
sqrt(13) = 3.6... so it lies between 3 and 4.
There are infinitely many irrational numbers between sqrt(2) and sqrt(3).
Examples of such numbers are 49, where sqrt(49) = 7, 81, where sqrt(81) = 9. Such numbers are called square numbers.
The numbers are -14 which is closest to -sqrt(192) and 14 which is closest to sqrt(192).
There are infinitely many numbers. Amongst them are4.980000000000000000001, 4.980000000000000000001200000003, sqrt(24.8005).
sqrt(2), sqrt(3)
sqrt(2.31 and sqrt(2.4)
There are no rational numbers between sqrt(-26) and sqrt(-15). The interval comprises purely imaginary numbers.
pi -- 2