SOLUTION: S = { x | 8 < x < 85 and the square root of x is an integer} How many elements are in the set?

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Question 993514: S = { x | 8 < x < 85 and the square root of x is an integer} How many elements are in the set?
Answer by ikleyn(52756) About Me  (Show Source):
You can put this solution on YOUR website!
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You may re-formulate this question equivalently:

>>> . . . How many integers are in the interval  ( sqrt%288%29, sqrt%2885%29 )? . . . <<<

or even in more understandable way:

>>> . . . How many integers are in the interval  (2.9, 9.1)? . . . <<<

Now it is easy to list them:  3, 4, 5, 6, 7, 8, 9.

In total, there are  7  such integer numbers.

Correspondingly,   S = { 9, 16, 25, 36, 49, 64, 81 }.