approximating a square root approximate to the nearest integer. example 2 the perfect square closest...
TRANSCRIPT
Approximating a Square Root
Approximate to the nearest integer.
Example 2
The perfect square closest to, but less than, 51 is 49. The perfect square closest to, but greater than, 51 is 64. So, 51 is between 49 and 64. This statement can be expressed by the compound inequality 49 < 51 < 64.
51
Identify perfect squares closest to 51.49 < 51 < 64
< <49 51 64 Take positive square root of each number.
7 51 8< < Evaluate square root of each perfect square.
Approximating a Square RootExample 2
ANSWER
Because 51 is closer to 49 than to 64, is closer to 7 than to 8. So, to the nearest integer,
5151 7.≈
ANSWER 11
Checkpoint
Approximate to the nearest whole number.5. 125