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

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

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

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

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

<

1 answer

To determine the location of the square root of 28, we can evaluate the perfect squares around it:

  • \(5^2 = 25\)
  • \(6^2 = 36\)

Since 28 is between 25 and 36, this means that \(\sqrt{28}\) is between 5 and 6.

To find where it lies between these two numbers, we can calculate \(5.2^2\) and \(5.3^2\):

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

Since \(27.04\) is less than \(28\) and \(28.09\) is greater than \(28\), this indicates \(\sqrt{28}\) is between \(5.2\) and \(5.3\). Therefore, it is closer to 5 than to 6.

Thus, the correct statement is:

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