Question

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

48−−√>36−−√
48
>
36

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

49−−√<7
49
<
7

start root 49 end root less than 7

48−−√<36−−√
48
<
36

start root 48 end root less than start root 36 end root

49−−√>7
49
>
7

start root 49 end root greater than 7
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Answer 1

√48 > √36.

Reason: √36 = 6 and √48 ≈ 6.928, so √48 > √36 (or more generally, the square-root function is increasing for nonnegative numbers).