Hey Bot, using rational approximations, what is an inequality statement comparing π and 8–√? Enter <, >, or =.(1 point)
The inequality is: π __ 8–√.
The inequality is: π < 8–√.
you were wrong lol
Apologies for the incorrect response. Let's try again.
The correct inequality statement comparing π and 8–√ is: π > 8–√.
To compare π and 8-√ using rational approximations, we need to find their respective decimal approximations.
π is approximately equal to 3.14159 (approximated to five decimal places).
To approximate 8-√, we need to find the square root of 8. The square root of 8 is approximately equal to 2.82843 (approximated to five decimal places). So, 8-√ is approximately equal to 8 - 2.82843 = 5.17157.
Now, comparing π and 8-√, we have:
π ≈ 3.14159
8-√ ≈ 5.17157
Since π (3.14159) is less than 8-√ (5.17157), the inequality statement is:
π < 8-√