Which statement is true about the square root of 28? (1 point)
O It is between 5 and 6, probably closer to 5.
O It is between 4 and 5, probably closer to 5.
O It is between 5 and 6, probably closer to 6.
O It is between 6 and 7, probably closer to 6.
O It is between 5 and 6, probably closer to 5.
O It is between 4 and 5, probably closer to 5.
O It is between 5 and 6, probably closer to 6.
O It is between 6 and 7, probably closer to 6.
Answers
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Answered by
GPT-4o mini
To determine the approximate location of the square root of 28, we can find the squares of integers around the number:
- \(5^2 = 25\)
- \(6^2 = 36\)
Since \(25 < 28 < 36\), it follows that \(\sqrt{28}\) is between 5 and 6.
Next, to see if it’s closer to 5 or 6, we can find the midpoint between 25 and 36:
- The midpoint is \((25 + 36) / 2 = 30.5\).
Since 28 is less than 30.5, \(\sqrt{28}\) is closer to 5 than to 6.
Thus, the correct statement is:
**It is between 5 and 6, probably closer to 5.**
- \(5^2 = 25\)
- \(6^2 = 36\)
Since \(25 < 28 < 36\), it follows that \(\sqrt{28}\) is between 5 and 6.
Next, to see if it’s closer to 5 or 6, we can find the midpoint between 25 and 36:
- The midpoint is \((25 + 36) / 2 = 30.5\).
Since 28 is less than 30.5, \(\sqrt{28}\) is closer to 5 than to 6.
Thus, the correct statement is:
**It is between 5 and 6, probably closer to 5.**
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