Question

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

48−−√>36−−√

start root 48 end root greater than start root 36 end root

49−−√<7

start root 49 end root less than 7

49−−√>7

start root 49 end root greater than 7

48−−√<36−−√

Answer 1

sqrt(48) > sqrt(36).

Reason: 36 < 48 < 49, so 6 < sqrt(48) < 7; hence sqrt(48) > 6 = sqrt(36). Also sqrt(49) = 7, so it's neither <7 nor >7.