Between which two numbers does the square root of 139 lie

11^2 = 121

12^2 = 144

11,12

To determine between which two numbers the square root of 139 lies, we can use the fact that the square root of a number lies between the square roots of its consecutive perfect squares. In this case, we can find the two consecutive perfect squares that surround 139 and take the square root of those.

The closest perfect squares to 139 are 121 (11^2) and 144 (12^2). Taking the square root of those, we find:

√121 = 11
√144 = 12

Therefore, the square root of 139 lies between 11 and 12.