Asked by jayla
Using rational approximations, what statement is true?(1 point)
Responses
3<9–√
3 less than start root 9 end root
π>9–√
pi greater than start root 9 end root
3>9–√
3 greater than start root 9 end root
π<9–√
Responses
3<9–√
3 less than start root 9 end root
π>9–√
pi greater than start root 9 end root
3>9–√
3 greater than start root 9 end root
π<9–√
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine which statement is true involving \( \sqrt{9} \), let's compute \( \sqrt{9} \):
\[
\sqrt{9} = 3
\]
Now we can evaluate the options given:
1. **\( 3 < \sqrt{9} \)**:
- This statement is **false** since \( 3 \) is equal to \( \sqrt{9} \).
2. **\( \pi > \sqrt{9} \)**:
- Since \( \pi \approx 3.14 \), this statement is **true** because \( \pi \) is indeed greater than \( 3 \).
3. **\( 3 > \sqrt{9} \)**:
- This statement is **false** since they are equal.
4. **\( \pi < \sqrt{9} \)**:
- This statement is **false** because \( \pi \) is greater than \( \sqrt{9} \).
Therefore, the correct statement is:
\(\pi > \sqrt{9}\)
\[
\sqrt{9} = 3
\]
Now we can evaluate the options given:
1. **\( 3 < \sqrt{9} \)**:
- This statement is **false** since \( 3 \) is equal to \( \sqrt{9} \).
2. **\( \pi > \sqrt{9} \)**:
- Since \( \pi \approx 3.14 \), this statement is **true** because \( \pi \) is indeed greater than \( 3 \).
3. **\( 3 > \sqrt{9} \)**:
- This statement is **false** since they are equal.
4. **\( \pi < \sqrt{9} \)**:
- This statement is **false** because \( \pi \) is greater than \( \sqrt{9} \).
Therefore, the correct statement is:
\(\pi > \sqrt{9}\)
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