Question

Which of the following best describes the square root of 119?

A. A number greater than 11.
B. A number greater than 9.5 but less than 10.
C. A number greater than 10.5 but less than 11.
D. A number greater than 10 but less than 10.5.

Answer 1

The square root of 119 is greater than 10 but less than 11, so the best description is a number greater than 10.5 but less than 11.

Step-by-step explanation:

The student is asking which description fits the square root of 119. To find the square root of a number, we should look for two identical factors that multiply to give the number. For example, the square root of 100 is 10 because 10 x 10 equals 100. In this case, since 10 x 10 is 100 and 11 x 11 is 121, the square root of 119 must be greater than 10 but less than 11. This is because 119 is more than 100 but less than 121. Therefore, option C, a number greater than 10.5 but less than 11, is the best description.