Find the nearest perfect square on either side of the given value.
7
Practice makes perfect
A perfect square is a number that can be written as a square of some integer. Therefore, its square root is a whole number.
sqrt(a^2)=|a|To estimate sqrt(48) to the nearest integer, let's narrow down our estimate by looking at nearby perfect squares. The two nearest perfect squares are 36 and 49.
We know that sqrt(48) is somewhere between 6 and 7. 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 36 and 48, and 48 and 49.
36-12 ←48+1 →49
Because 49 is closer to 48, we know that sqrt(49) is closer to sqrt(48). Therefore, the nearest integer is 7.
