Using rational approximations, what is an inequality statement comparing 81−−√ and 8–√8 ? Enter <, >, or =.(1 point)

Answer 1

To compare the two numbers, let's find their rational approximations:

81^(-0.5) ≈ 0.11111111

8^(1/3) ≈ 2.0

Since 0.11111111 < 2.0, we can conclude that:

81^(-0.5) < 8^(1/3)

Therefore, the inequality statement is:

81−−√ < 8–√8