Question

Which statement is true about the square root of 28?

options:

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

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

Answer 1

To determine the approximate value of the square root of 28, we can compare it to the squares of whole numbers.

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

Since \(28\) is between \(25\) and \(36\), it follows that:

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

Next, we can check how close \(\sqrt{28}\) is to \(5\) and \(6\). Since \(28\) is closer to \(25\) than \(36\), \(\sqrt{28}\) will be closer to \(5\).

To find a more precise approximation:

- If we compute \(\sqrt{28}\), we find it is approximately \(5.2915\).

This confirms that \(\sqrt{28}\) is indeed between \(5\) and \(6\), and closer to \(5\).

Therefore, the correct statement is:

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