Between which 2 integers does the square root of 96 lie?

Between 9 and 10 because the square root of 96 is 9.79795897 and if rounded that can be 10, yet alone in decimal form, it is near 9

To do this problem, list the first 10 perfect square numbers:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100

Now 96 falls between 81 and 100 which have square roots of 9 and 10 respectively.  So the square root of 96 should be between 9 and 10.

Hope this helps.