Question
A whole number square root lies between 10 and 11 but is closer to 11. Identify the whole number square root that satisfies this requirement.(1 point)
Responses
101−−−√
Start Root 101 End Root
110−−−√
Start Root 110 End Root
111−−−√
Start Root 111 End Root
108−−−√
Responses
101−−−√
Start Root 101 End Root
110−−−√
Start Root 110 End Root
111−−−√
Start Root 111 End Root
108−−−√
Answers
GPT-4o mini
To identify the whole number square root that lies between 10 and 11 but is closer to 11, we can analyze the square roots of the given numbers:
1. \(\sqrt{101}\) - The square root is slightly greater than 10 (approximately 10.05).
2. \(\sqrt{110}\) - The square root is slightly less than 11 (approximately 10.49).
3. \(\sqrt{111}\) - The square root is very close to 11 (approximately 10.54).
4. \(\sqrt{108}\) - The square root is also close to 11 (approximately 10.39).
Among these values, \( \sqrt{111} \) is the only one that is clearly closer to 11 while still lying between 10 and 11.
Therefore, the whole number square root that satisfies the requirement is:
\(\sqrt{111}\)
1. \(\sqrt{101}\) - The square root is slightly greater than 10 (approximately 10.05).
2. \(\sqrt{110}\) - The square root is slightly less than 11 (approximately 10.49).
3. \(\sqrt{111}\) - The square root is very close to 11 (approximately 10.54).
4. \(\sqrt{108}\) - The square root is also close to 11 (approximately 10.39).
Among these values, \( \sqrt{111} \) is the only one that is clearly closer to 11 while still lying between 10 and 11.
Therefore, the whole number square root that satisfies the requirement is:
\(\sqrt{111}\)