Ask your own question, for FREE!
Mathematics 8 Online
rayahills14:

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?

Vocaloid:

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!
Latest Questions
XShawtyX: Art, Short Writing Assignment: Imagining Landscapes
5 hours ago 2 Replies 0 Medals
XShawtyX: Chemistry, Help ud83dude4fud83cudffe
5 hours ago 13 Replies 1 Medal
kaelynw: tried a lil smt, the arm is off but i like the other stuff
16 hours ago 27 Replies 3 Medals
kaelynw: art igg
14 hours ago 14 Replies 2 Medals
XShawtyX: Art
3 days ago 6 Replies 0 Medals
Nina001: teach me how to draw or just tell me the basics
3 days ago 2 Replies 1 Medal
XShawtyX: We doing another drawing gimme ideas to add to this
3 days ago 9 Replies 1 Medal
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!