Question

1. Choose the statement that describes the value of the square root of 24.

The value is between 4 and 4.5
The value is between 4.5 and 5
The value is between 5 and 5.5
The value is between 5.5 and 6

Answer 1

The square root of 24 is greater than the square root of 16 (which is 4) and less than the square root of 25 (which is 5), so it lies between 4.5 and 5.

Step-by-step explanation:

To determine the value of the square root of 24, we should find two perfect squares between which 24 lies. The perfect squares closest to 24 are 16 (42) and 25 (52). This tells us that the square root of 24 is greater than 4 but less than 5. Since 24 is closer to 25 than it is to 16, the square root of 24 will be closer to 5 than to 4. Therefore, the correct answer is that the value of the square root of 24 is between 4.5 and 5.

Answer 2

4.5 and 5

Step-by-step explanation:

The √24 is 4.89879

to one decimal place is 4.9

Approximately 5