Question

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

It is between 6 and 7, probably closer to 6.
It is between 6 and 7, 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.
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.
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Answer 1

To determine the approximate value of the square root of 28, we can compare it to perfect squares:

- \(5^2 = 25\)
- \(6^2 = 36\)

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

To further narrow it down, we can calculate the squares of numbers between 5 and 6:

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

Since \(27.04 < 28 < 28.09\), it follows that \(5.2 < \sqrt{28} < 5.3\).

Thus, we can conclude that the square root of 28 is between 5 and 6, and it is closer to 6.

So the true statement is:

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