Question

Between what two integers is the square root of 147

Answer 1

One of the more familiar squares is 144; the sqrt of 144 is 12.  The next higher perfect square is 169, whose square root is 13.    Thus, the sqrt of 147 lies between 144 and 169.

Answer 2

Its in inbetween 12 and 13 because 12 times 12 is 144 and 13 times 13 is 169.