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

Responses

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

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.

1 answer

To determine the square root of 28, we can estimate its value by finding the squares of numbers around it.

  • \(5^2 = 25\)
  • \(6^2 = 36\)

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

To estimate whether \(\sqrt{28}\) is closer to \(5\) or \(6\), we can check the square of \(5.3\) and \(5.4\):

  • \(5.3^2 = 28.09\)
  • \(5.4^2 = 29.16\)

Since \(28\) is less than \(28.09\) but more than \(25\) (and based on our estimates), the value of \(\sqrt{28}\) is actually closer to \(5.3\).

Thus, the square root of \(28\) is between \(5\) and \(6\), and is probably closer to \(5\).

So, the true statement is: It is between 5 and 6, probably closer to 5.