Find the nearest perfect square on either side of the given value.
10
Practice makes perfect
A perfect square is a number that can be rewritten as a square of some integer. Therefore, its square root is a whole number.
sqrt(a^2)=|a|To estimate sqrt(99) to the nearest integer, let's narrow down our estimate by looking at nearby perfect squares. The two nearest perfect squares are 81 and 100.
We know that sqrt(99) is somewhere between 9 and 10. In order to estimate it to the nearest whole number, we have to know which perfect square is closer. We will do this by finding the difference between 81 and 99, and 99 and 100.
81-18 ←99+1 →100
Because 100 is closer to 99, we know that sqrt(100) is closer to sqrt(99). Therefore, the nearest integer is 10.
