Question

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

71−−√>61−−√

start root 71 end root greater than start root 61 end root

81−−√>9

Answer 1

sqrt(71) > sqrt(61).

Reason: the square-root function is increasing, so a larger radicand gives a larger root (and numerically √61 ≈ 7.81, √71 ≈ 8.43).