Using rational approximations, what statement is true?(1 point) Responses 81−−√>9 start root 81 end root greater than 9 71 −−−√<61−−√ start root 71 end root less than start root 61 end root 81−−√<9 start root 81 end root less than 9 71−−√>61−−√

Answer 1

To evaluate the given statements using rational approximations and square roots, let's analyze them one by one:

1. √81 > 9

   • √81 = 9, so this statement is FALSE.

2. √71 < √61

   • To find this, we compare 71 and 61. Since 71 is greater than 61, this statement is also FALSE.

3. √81 < 9

   • Again, since √81 = 9, this statement is FALSE.

4. √71 > √61

   • Since √71 is greater than √61, this statement is TRUE.

Thus, the true statement is:

√71 > √61.