Finding Consecutive Whole Numbers for Square Root of 83
The image shows an inequality with a square root of 83 surrounded by two empty boxes, one before and one after the square root, connected by less-than signs. The task is to find two consecutive whole numbers between which the square root of 83 lies.
We know that the square root of 81 is 9 and the square root of 100 is 10. Since 83 is between 81 and 100, the square root of 83 will be between the square roots of these two perfect squares. Specifically:
9 < √83 < 10
Therefore, the two consecutive whole numbers that the square root of 83 lies between are 9 and 10. Hence, the boxes should be filled with the numbers 9 and 10, in that order.
