Which statement is true about the square root of 28? And why?
A. It is between 6 and 7, probably closer to 6.
B. It is between 5 and 6, probably closer to 6
C. It is between 5 and 6, probably closer to 5.
D. It is between 4 and 5, probably closer to 5.
The correct statement is B. The square root of 28 is between 5 and 6 and is probably closer to 6.
To determine this, we can find the approximate value of the square root of 28. Taking the average of 5 and 6, we get 5.5. Squaring 5.5 gives us 30.25, which is greater than 28. Since the square root of 28 is less than 5.5, it must be closer to 5 than to 6. Hence, the correct statement is B.
To determine which statement is true about the square root of 28, we can make estimations.
First, we can start by finding the perfect squares that are closest to 28. The perfect square smaller than 28 is 25, and the perfect square larger than 28 is 36.
Next, we can consider the square roots of these perfect squares. The square root of 25 is 5, and the square root of 36 is 6.
Therefore, the square root of 28 will be between 5 and 6.
Now, we need to determine whether it is probably closer to 5 or 6.
To do this, we can calculate the average of 5 and 6, which is 5.5. The square root of 28 is closer to 5.5 than it is to 5 or 6.
Therefore, the statement "A. It is between 6 and 7, probably closer to 6." is not true.
The statement "B. It is between 5 and 6, probably closer to 6." is not true either because the square root of 28 is closer to 5.5 than 6.
The statement "D. It is between 4 and 5, probably closer to 5." is also not true because the square root of 28 is closer to 5.5 than 5.
Therefore, the correct statement is "C. It is between 5 and 6, probably closer to 5."