Using rational approximations, what statement is true?(1 point)
Responses
71 −−−√<61−−√
start root 71 end root less than start root 61 end root
81−−√<9
start root 81 end root less than 9
81−−√>9
start root 81 end root greater than 9
71−−√>61−−√
start root 71 end root greater than start root 61 end root
To compare the values using rational approximations, we can simplify the radical expressions.
Starting with the first statement:
√71 ≈ 8.43
√61 ≈ 7.81
Since 8.43 > 7.81, we can conclude that √71 > √61.
Therefore, the correct statement is:
√71 > √61.