Prove: Irrational Numbers Have Rational Numbers Between

[sedaw]

need to prove that : between any two irrational numbers there is at least one rational number .

TNX .

 

[CompuChip]

It's not true, there is none between $\sqrt{2}$ and $\sqrt{2}$.

Also, what would you like to use for a proof? Analysis? Topology?

 

[sedaw]

It's not true, there is none between $\sqrt{2}$ and $\sqrt{2}$.

Also, what would you like to use for a proof? Analysis? Topology?

Analysis, for x and y that x<y