Using rational approximations, what statement is true?(1 point)
Responses
48−−√<36−−√
start root 48 end root less 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−−√
start root 48 end root greater than start root 36 end root
To compare these irrational numbers using rational approximations, we can find the nearest whole numbers for each square root.
√48 is approximately equal to √49 which is 7, and √36 is also approximately equal to √49 which is 7.
So, we can rewrite the statement as:
7 < 7
Since 7 is not less than 7, the statement 48−−√ > 36−−√ is true.