Question

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 5. It is between 5 and 6, 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.

Answer 1

To find the square root of 28, we can estimate its value:

• The square root of 25 is 5 (since \(5^2 = 25\)).
• The square root of 36 is 6 (since \(6^2 = 36\)).

Since \(28\) is between \(25\) and \(36\), the square root of \(28\) will be between \(5\) and \(6\).

Calculating further, we know:

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

This means that \(\sqrt{28}\) is between \(5.2\) and \(5.3\). Therefore, it is definitely closer to \(6\) than to \(5\).

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