Prove that between every two rational numbers a/b and c/d that there is a rational number and there are an infinite number of rational numbers
24706
Is there a rational number between any two irrationals?
151038
How to prove (A v B), (A → C), (B → D) therefore (C v D)
142008
Find all natural numbers $n$ such that ${(n+1)}^{1/2}-{(n-1)}^{1/2}$ is rational
88982
Prove that for any two sets $A$ and $B$, $A\notin B$ or $B\notin A$
139979
Proof there is a rational between any two reals
18693
If $a,b$ are positive integers such that $a^{n}+n$ divides $b^{n}+n$ for every $n$, then $a=b$
83460
Sequence of rationals with an irrational limit have denominators going to infinity
31724
How prove that $q \geq b+d$ for $ad-bc = 1$ and $\frac{a}{b} > \frac{p}{q} > \frac{c}{d}$?
101362
Let a,b,c be positive real number, proof.
102583
Infinite number of rationals between any two reals.
71299
Prove that $\frac{a}{b} < \frac{a+c}{b+d} <\frac{ c}{d}$
12954
Prove if $ac>bc$ and $c>0$, then $a>b$
153670
Prove that if $a \mid b$ and $b \mid c$, then $a \mid c$.
87111
Prove $\sqrt{2}$ is between $\dfrac{a}{b}$ and $\dfrac{a+2b}{a+b}$
69575
If $ad$ and $bc$ are odd and even, respectively, then prove that $ax^3+bx^2+cx+d$ has an irrational root.
44309
Prove $5a^2 ≠ 3b^2$ for all non-zero rational numbers $a$ and $b$
5287
Representing every positive rational number in the form of $(a^n+b^n)/(c^n+d^n)$