Question

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

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

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

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

Answer 1

To find which statement is true about the square root of 28, we can estimate its value:

- The square of 5 is \(5^2 = 25\).
- The square of 6 is \(6^2 = 36\).

Since \(25 < 28 < 36\), we know that:

\[
5 < \sqrt{28} < 6
\]

Next, we can refine our estimation. The perfect squares we have are:

- \(5.2^2 = 27.04\)
- \(5.3^2 = 28.09\)

Since \(27.04 < 28 < 28.09\), it follows that:

\[
5.2 < \sqrt{28} < 5.3
\]

Thus, the square root of 28 is definitely between 5 and 6, and closer to 5 than to 6.

So the true statement is:

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