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 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 4 and 5, probably closer to 5.

1 answer

To determine the value of the square root of 28, we can find the perfect squares that are closest to 28.

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

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

To get a better estimate, we can check the squares of numbers slightly above 5:

  • \(5.2^2 = 27.04\) (which is less than 28)
  • \(5.3^2 = 28.09\) (which is greater than 28)

Thus, \(\sqrt{28}\) is between 5.2 and 5.3, confirming that it is closer to 5.3 than to 5.

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

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