Using rational approximations, what statement is true?

Question

options:

√81 > 9

√71 > √61

√71 < √61

√81 < 9

Answer 1

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.