To determine who is correct, let's first calculate the square root of 28 and then evaluate \( 7 - \sqrt{28} \).
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Calculating \( \sqrt{28} \):
- We know \( \sqrt{25} = 5 \) and \( \sqrt{36} = 6 \), so \( \sqrt{28} \) is between 5 and 6.
- A better approximation of \( \sqrt{28} \) can be found: \[ \sqrt{28} \approx 5.29 \]
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Calculating \( 7 - \sqrt{28} \): \[ 7 - \sqrt{28} \approx 7 - 5.29 = 1.71 \]
Thus, \( 7 - \sqrt{28} \) is approximately 1.71, which fits between 1 and 2 on a number line.
Now, let's evaluate the students' responses:
- Donald states that \( \sqrt{28} \) falls between 5 and 6. This is correct.
- Donna correctly states that \( \sqrt{28} \) falls between 5 and 6, but she misinterprets the result to say \( 7 - \sqrt{28} \) is between 1 and 2, which is correct, but her reasoning regarding \( 7 - 5 \) and \( 7 - 6 \) is misleading.
Conclusion:
Both students are correct in identifying that \( \sqrt{28} \) is between 5 and 6. The correct interpretation of the location of \( 7 - \sqrt{28} \) is consistent with both students, but given that both misplace the final interpretation based on their individual reasoning, it's important to note that Donald gives clearer reasoning in determining that \( \sqrt{28} \) lies between 5 and 6 without confusion.
Thus, Donald is correct, and the best response is: "Donald is correct because he determined the square root of 28 falls between the values of 5 and 6."