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

Responses

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

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

1 answer

To determine which statement is true about the square root of 28, we can estimate the value of \(\sqrt{28}\).

We know that:

  • \(\sqrt{25} = 5\)
  • \(\sqrt{36} = 6\)

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

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

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

From this, we see that \(5.2^2\) is less than 28, and \(5.3^2\) is slightly above 28. So, \(\sqrt{28}\) is between 5.2 and 5.3, which means it is closer to 6 than to 5.

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

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