Question

Rational approximations what statement is true
√71>√61
√71<√61
√81>9
√81<9

Answer 1

To determine which statements are true, we can evaluate each one:

1. **√71 > √61**:
- Since 71 > 61, it follows that the square root of 71 is greater than the square root of 61. Therefore, this statement is **true**.

2. **√71 < √61**:
- This statement contradicts the first one. Since √71 > √61, this statement is **false**.

3. **√81 > 9**:
- Since the square root of 81 is equal to 9 (√81 = 9), this statement is **false**.

4. **√81 < 9**:
- Again, since √81 = 9, this statement is also **false**.

Thus, the only true statement is **√71 > √61**.