Question

What number does the square root of 72 lie between?

a. 6 and 7
b. 8 and 9
c. 9 and 10
d. 10 and 11

Answer 1

The square root of 72 lies between 8 and 9. Hence the correct answer is option B

Step-by-step explanation:

The square root of 72 lies between 8 and 9. To find this, we can determine the perfect squares that are closest to 72. The perfect squares that are less than 72 are 36 (6^2) and 49 (7^2). Since 72 is closer to 49, we know that the square root of 72 must be between 7 and 8. When we calculate the square root of 72, it is approximately 8.49, which confirms that it lies between 8 and 9.

Hence the correct answer is option B