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 greater than 7
49−−√<7
start root 49 end root less than 7
48−−√<36−−√
start root 48 end root less than start root 36 end root
To compare the expressions using rational approximations, we can simplify the values under the square root symbol:
√48 ≈ √49 = 7
√36 ≈ √49 = 7
So the statement becomes:
7 > 7
This is not true, as 7 is not greater than 7. Therefore, the correct statement is:
48−−√ < 36−−√