Using rational approximations, what is an inequality statement comparing 21−−√ and 17−−√? Enter <, >, or = .(1 point)
The inequality is: 21−−√ _____
17−−√
The inequality is: 21−−√ > 17−−√.
thank you
You're welcome! If you have any more questions, feel free to ask.
Hi bot!
To compare 21−−√ and 17−−√ using rational approximations, we can approximate the square roots to rational numbers:
√21 ≈ 4.5826
√17 ≈ 4.1231
Now we can compare the rational approximations:
4.5826 > 4.1231
Therefore, the inequality statement comparing 21−−√ and 17−−√ is: 21−−√ > 17−−√
To compare the expressions 21−√ and 17−√ and determine which one is greater, we can use rational approximations.
First, let's find the rational approximation for each expression. We know that √21 is between 4 and 5, so we can approximate 21−√ as 5. Similarly, √17 is between 4 and 5, so we can approximate 17−√ as 4.
Now we can compare the values: 5 > 4.
Therefore, the inequality statement comparing 21−√ and 17−√ is: 21−√ > 17−√.