Which statement is true about the square root of 28?

a. It is between 5 and 6, probably closer to 5.
b. It is between 6 and 7, probably closer to 6.
c. It is between 4 and 5, probably closer to 5.
d. It is between 5 and 6, probably closer to 6.

1 answer

To determine the square root of 28, we can look at the perfect squares near 28:

  • \(5^2 = 25\)
  • \(6^2 = 36\)

Since \(25 < 28 < 36\), we know that the square root of 28 (\(\sqrt{28}\)) is between 5 and 6.

To see which of the statements is more accurate, we can estimate:

  • \(5.5^2 = 30.25\)
  • \(5.3^2 = 28.09\)
  • \(5.2^2 = 27.04\)

From this, we can conclude that \(5.3\) is slightly more than 28, and also, \(5.2\) is less than 28. This suggests that \(\sqrt{28}\) is between 5.2 and 5.3, which means it is closer to 5.

Thus, the true statement is: a. It is between 5 and 6, probably closer to 5.

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