Ask
your own question, for FREE!
Mathematics
14 Online
Billy is trying to convince Sam that all square roots are irrational. To support his argument, Billy points out that sqrt(2), sqrt(6), sqrt(7), and sqrt(15) are all irrational. Since this set of numbers contains the square roots of both prime and composite numbers as well as even and odd numbers, Billy argues that there is no number (prime, composite, even, or odd) whose square root is rational. Thus, all square roots must be irrational. Where has Billy made his error?
Still Need Help?
Join the QuestionCove community and study together with friends!
whether a number is even/odd/prime/composite does not determine whether its square root is rational. for a square root to be rational, the radicand must be a perfect square, of which there are many examples (ex. sqrt(4) = 2)
Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!
Join our real-time social learning platform and learn together with your friends!
Join our real-time social learning platform and learn together with your friends!
Latest Questions
Ferrari:
I Have Returned to Writing Music (by me) so if you don't know, I used to write songs on here and post them, some of them were lowkey corny though.
AsianPanda08:
What should i eat for dinner tonight? I can't choose
Countless7Echos:
whaa this looks so silly, nothing is funnier then looking at how I draw my hands
Countless7Echos:
I don't know just no sketch doodle day :p finished a video already so I'm pretty
10 minutes ago
3 Replies
0 Medals
38 minutes ago
51 Replies
2 Medals
8 hours ago
8 Replies
0 Medals
1 day ago
9 Replies
2 Medals