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

Answer 1

To compare these two numbers using rational approximations, we can find the decimal representation of each number and compare them.

First, let's find a rational approximation for √81. We know that the square root of 81 is 9, so √81 = 9.

Now let's find a rational approximation for √8. We know that √9 is 3, so √8 must be slightly less than 3. Approximating √8 to be 2.83.

Comparing 9 and 2.83, we can see that 9 > 2.83.

Therefore, the inequality statement comparing 81−−√ and 8–√8 is 81−−√ > 8–√8.

Answer 2

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