Question

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 greater than start root 61 end root

71 −−−√<61−−√

start root 71 end root less than start root 61 end root

81−−√<9

Answer 1

√71 > √61

Reason: the square-root function is increasing for nonnegative numbers (or approximate: √71 ≈ 8.43 and √61 ≈ 7.81), so √71 is larger.