Using rational approximations what statement is true
A. √71< √61
B. √71> √61
C. √81<9
D. √81>9
D. √81>9
To determine the correct statement using rational approximations, we can calculate the square roots using decimal approximations and compare them.
Let's calculate the square roots using a calculator:
√71 ≈ 8.426
√61 ≈ 7.810
√81 ≈ 9
Comparing these values to the options:
A. √71 < √61
8.426 < 7.810 (Not true)
B. √71 > √61
8.426 > 7.810 (True)
C. √81 < 9
9 < 9 (Not true)
D. √81 > 9
9 > 9 (Not true)
Therefore, the correct statement is B. √71 > √61.