To evaluate the given statements using rational approximations and square roots, let's analyze them one by one:
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√81 > 9
- √81 = 9, so this statement is FALSE.
-
√71 < √61
- To find this, we compare 71 and 61. Since 71 is greater than 61, this statement is also FALSE.
-
√81 < 9
- Again, since √81 = 9, this statement is FALSE.
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√71 > √61
- Since √71 is greater than √61, this statement is TRUE.
Thus, the true statement is:
√71 > √61.