Using rational approximations, what statement is true?(1 point)
Responses
71−−√>61−−√
start root 71 end root greater than start root 61 end root
81−−√<9
start root 81 end root less than 9
81−−√>9
start root 81 end root greater than 9
71 −−−√<61−−√
start root 71 end root less than start root 61 end root
To compare the given expressions using rational approximations, we can simplify the expressions under the radicals to the nearest whole numbers.
√71 is approximately equal to √64, which is 8.
√61 is approximately equal to √64, which is also 8.
Therefore, the comparison becomes:
8 > 8
However, 8 is not greater than 8. So, the statement 71−−√>61−−√ is not true.