Question

Using rational approximations, what statement is true?(1 point)
Responses

81−−√<9
81
<
9

start root 81 end root less than 9

71−−√>61−−√
71
>
61

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

81−−√>9
81
>
9

start root 81 end root greater than 9

71 −−−√<61−−√

Answer 1

sqrt(71) > sqrt(61).

Reason: 8^2 = 64 < 71, so sqrt(71) > 8. But 8^2 = 64 > 61, so sqrt(61) < 8. Hence sqrt(71) > 8 > sqrt(61), so sqrt(71) > sqrt(61).