Question

Question
Which statement is true about the square root of 28?(1 point)
Responses

It is between 5 and 6, probably closer to 5.
It is between 5 and 6, probably closer to 5.

It is between 4 and 5, probably closer to 5.
It is between 4 and 5, probably closer to 5.

It is between 6 and 7, probably closer to 6.
It is between 6 and 7, probably closer to 6.

It is between 5 and 6, probably closer to 6.

Answer 1

To find the square root of 28, we can approximate it by looking at the squares of whole numbers:

- \(5^2 = 25\)
- \(6^2 = 36\)

This shows that \(25 < 28 < 36\), which means that the square root of 28 is between 5 and 6.

To refine our estimate, we can compare it to \(5.3^2\) and \(5.4^2\):

- \(5.3^2 = 28.09\) (too high)
- \(5.2^2 = 27.04\) (too low)

Since \(28\) is closer to \(28.09\), we can infer that the square root of \(28\) is between \(5.3\) and \(5.4\), and is therefore closer to \(6\).

Thus, the correct statement is:
**"It is between 5 and 6, probably closer to 6."**