Question

If the square root of a number, s, is approximately 6.7082, then s is between which two of the following pains of integers?

A 2 and 3
B 3 and 4
C 6 and 7
D 13 and 14
E 36 and 48

Answer 1

The number s, of which the square root is approximately 6.7082, lies between the square of the integers 6 and 7, and thus the correct option is D, which is between 13 and 14.

Step-by-step explanation:

If the square root of a number, s, is approximately 6.7082, then s is between which two of the following pairs of integers? The correct answer is D, which is between 13 and 14. To determine the answer, we can square the given approximate square root.

Since 6.7082² is approximately equal to 45.000, and 45 lies between the squares of the integers 6 and 7 (as 36 < 45 < 49), the number s must lie between 13 and 14 when considering the answer options provided, as only option D (13 and 14) encompasses the value 45.