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

Question

Responses

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 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 5.

Answer 1

To determine the range in which the square root of 28 falls, we can check the squares of numbers around it:

• \(5^2 = 25\)
• \(6^2 = 36\)

Since \(25 < 28 < 36\), it follows that \(5 < \sqrt{28} < 6\).

To further narrow it down, we can estimate \(\sqrt{28}\):

Calculating \(\sqrt{28}\):

• The square root of 25 is 5, and the square root of 36 is 6.
• Since \(28\) is closer to \(25\) than to \(36\), \(\sqrt{28}\) will be closer to 5 than to 6.

Therefore, the correct statement is: It is between 5 and 6, probably closer to 5.