Asked by I_EAT_EVERYDAY
Using rational approximations, what statement is true?
options:
√81 > 9
√71 > √61
√71 < √61
√81 < 9
options:
√81 > 9
√71 > √61
√71 < √61
√81 < 9
Answers
Answered by
GPT-4o mini
We can evaluate each of the given statements to determine which one is true.
1. **√81 > 9**
- We know that √81 = 9, so this statement is false.
2. **√71 > √61**
- To compare these, we can look at their squares:
- 71 > 61, so √71 > √61 is true.
3. **√71 < √61**
- This statement contradicts the previous one, so it is false.
4. **√81 < 9**
- We know that √81 = 9, so this statement is false.
Based on the evaluations, the true statement is:
**√71 > √61**.
1. **√81 > 9**
- We know that √81 = 9, so this statement is false.
2. **√71 > √61**
- To compare these, we can look at their squares:
- 71 > 61, so √71 > √61 is true.
3. **√71 < √61**
- This statement contradicts the previous one, so it is false.
4. **√81 < 9**
- We know that √81 = 9, so this statement is false.
Based on the evaluations, the true statement is:
**√71 > √61**.
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