To determine the approximate value of the square root of 28, we will consider the perfect squares surrounding it:
- The square of 5 is 25.
- The square of 6 is 36.
Since 28 is between 25 and 36, we know that:
\[ 5 < \sqrt{28} < 6 \]
Now, we need to see if it is closer to 5 or 6.
Calculating \(5.5^2\):
\[ 5.5^2 = 30.25 \]
Since \(30.25\) is greater than \(28\), it confirms that \(\sqrt{28}\) is less than \(5.5\).
Calculating \(5.3^2\):
\[ 5.3^2 = 28.09 \]
Since \(28.09\) is greater than \(28\), it confirms that \(\sqrt{28}\) is less than \(5.3\).
Calculating \(5.2^2\):
\[ 5.2^2 = 27.04 \]
Since \(27.04\) is less than \(28\), it confirms that \(\sqrt{28}\) is greater than \(5.2\).
This means it is likely closer to \(5.3\).
Therefore, the correct answer is:
It is between 5 and 6, probably closer to 5.