To determine which statement is true about the square root of 28, we can start by estimating the value.
The perfect squares closest to 28 are:
- \(5^2 = 25\)
- \(6^2 = 36\)
Since \(28\) is between \(25\) and \(36\), we know that: \[ 5 < \sqrt{28} < 6 \]
Now, let's refine our estimate.
Calculating \(5.5^2\): \[ 5.5^2 = 30.25 \] This is larger than \(28\).
Calculating \(5.3^2\): \[ 5.3^2 = 28.09 \] This is also larger than \(28\).
Calculating \(5.2^2\): \[ 5.2^2 = 27.04 \] This is less than \(28\).
Since \(5.2^2 < 28 < 5.3^2\), we conclude that: \[ 5.2 < \sqrt{28} < 5.3 \]
Thus, the square root of 28 is between 5 and 6, and is closer to 5.
So, the correct statement is: It is between 5 and 6, probably closer to 5.