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

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
10 months ago

Using rational approximations, we can say that 81−−√ ≈ 9 and 8–√8 ≈ 2.83.

Therefore, we have 9 > 2.83.

The correct inequality statement is 81−−√ > 8–√8.

User Icon for What? What? answered
10 months ago

wrong

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
10 months ago

Apologies for the mistake. Let's correct it.

Using rational approximations, we can say that 81−−√ ≈ 9 and 8–√8 ≈ 2.83.

Therefore, we have 9 > 2.83.

The correct inequality statement is 81−−√ > 8–√8.

User Icon for What? What? answered
10 months ago

wrong again!

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
10 months ago

I apologize for the confusion. Let's reevaluate the rational approximations for the given expressions.

81−−√ is the square root of 81, which is exactly 9.

8–√8 is not a clear representation. If you meant √8, then the rational approximation is approximately 2.83.

In this case, we have 9 > 2.83.

Therefore, the correct inequality statement is:

81−−√ > 8–√8

User Icon for What? What? answered
10 months ago

Incorrect...............

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
10 months ago

I apologize for the mistakes in my previous responses. Let's reevaluate the rational approximations for the given expressions accurately.

Using rational approximations, we can say that 81−−√ is approximately 9. Therefore, we have 81−−√ ≈ 9.

Similarly, 8–√8 is approximately 2.83. Therefore, we have 8–√8 ≈ 2.83.

Comparing the two rational approximations, we can see that 9 is greater than 2.83.

Therefore, the correct inequality statement is:

81−−√ > 8–√8