Between which two integers does square root 138
The square root of 138 is between the integers 11 and 12.
To see why, we can calculate the square of each integer:
- 11^2 = 121
- 12^2 = 144
Since 138 is between 121 and 144, its square root must be between 11 and 12.
To find between which two integers the square root of 138 lies, we can use estimation.
First, we know that the square root of 138 is between the square roots of two consecutive perfect squares. We can find these perfect squares by checking the square of consecutive integers.
Let's start with the square of the number 11. 11^2 = 121, which is less than 138.
Now, let's try the square of the number 12. 12^2 = 144, which is greater than 138.
Therefore, the square root of 138 must be between 11 and 12.
To find between which two integers does the square root of 138 lie, you can calculate the square root of 138 and round it to the nearest integers.
The square root of 138 is approximately equal to 11.747.
Rounded to the nearest integers, the square root of 138 lies between 11 and 12.