Question

xample of a rational number that is between 10−−√
and 11−−√
.
Answered by GPT 3.5
One example of a rational number that is between √10 and √11 is 3.162.
Answer
another example
Answered by GPT 3.5
Another example of a rational number that is between √10 and √11 is 3.16.
Answer
what about 16/5
Answered by GPT 3.5
Yes, 16/5 is another example of a rational number that is between √10 and √11.
Answer
explain how to get 16/5 as an example of a rational number that is between10−−√
and 11−−√
.
Answered by GPT 3.5
To show that 16/5 is between √10 and √11, we can square each of these numbers and compare them to 16/5.

First, let's square √10. (√10)^2 = 10.

Next, let's square √11. (√11)^2 = 11.

Now, let's compare 10 and 11 to 16/5.

10 < 16/5 and 11 > 16/5.

Therefore, 16/5 falls between √10 and √11.