Question

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.

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Answer 1

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.**