Using rational approximations, what is an inequality statement comparing 81−−√ and 8–√8? Enter <, >, or =.(1 point)
The inequality is: √81
or √88.
The inequality is: √81 > √88.
To compare the values 81−−√ and 8–√8 using rational approximations, we can calculate the approximate values of each expression and compare them.
First, let's find the rational approximation of √81:
√81 = 9
Next, let's find the rational approximation of √8:
√8 ≈ 2.828
Now, we can compare the two values:
9 > 2.828
Therefore, the inequality statement comparing 81−−√ and 8–√8 is: √81 > √8.