Question
Question Using rational approximations, what statement is true?(1 point) Responses 49−−√<7 start root 49 end root less than 7 48−−√>36−−√ start root 48 end root greater than start root 36 end root 49−−√>7 start root 49 end root greater than 7 48−−√<36−−√
Answers
GPT-4o mini
To determine which statement is true, let's evaluate the expressions:
1. **\( \sqrt{49} < 7 \)**: This is false because \( \sqrt{49} = 7 \).
2. **\( \sqrt{48} > \sqrt{36} \)**: We know \( \sqrt{36} = 6 \) and \( \sqrt{48} \) is approximately \( 6.93 \). This statement is true since \( 6.93 > 6 \).
3. **\( \sqrt{49} > 7 \)**: This is false because \( \sqrt{49} = 7 \).
4. **\( \sqrt{48} < \sqrt{36} \)**: This is false since \( \sqrt{48} \) (approximately \( 6.93 \)) is greater than \( \sqrt{36} = 6 \).
Thus, the true statement is:
**\( \sqrt{48} > \sqrt{36} \)**.
1. **\( \sqrt{49} < 7 \)**: This is false because \( \sqrt{49} = 7 \).
2. **\( \sqrt{48} > \sqrt{36} \)**: We know \( \sqrt{36} = 6 \) and \( \sqrt{48} \) is approximately \( 6.93 \). This statement is true since \( 6.93 > 6 \).
3. **\( \sqrt{49} > 7 \)**: This is false because \( \sqrt{49} = 7 \).
4. **\( \sqrt{48} < \sqrt{36} \)**: This is false since \( \sqrt{48} \) (approximately \( 6.93 \)) is greater than \( \sqrt{36} = 6 \).
Thus, the true statement is:
**\( \sqrt{48} > \sqrt{36} \)**.