Using rational approximations, what statement is true?(1 point)
Responses
71 −−−√<61−−√
start root 71 end root less than start root 61 end root
71−−√>61−−√
start root 71 end root greater than start root 61 end root
81−−√>9
start root 81 end root greater than 9
81−−√<9
start root 81 end root less than 9
71 −−−√ > 61−−√
To compare two statements using rational approximations, we can rewrite the expressions as decimals and compare them.
1) 71 −√ < 61 −√
To compare this, we can approximate the square roots as decimals:
√71 ≈ 8.44
√61 ≈ 7.81
So, 8.44 is less than 7.81.
Therefore, the statement "71 −√ < 61 −√" is true.