Prove that there is no rational lowest upper bound for $\sqrt{3}$.
62224
Need help with proof for Dedekind cuts on $\mathbb{Q}^+$
68838
Why $\sqrt[3]{3}\not\in \mathbb{Q}(\sqrt[3]{2})$?
75349
Minimal polynomial of $\sqrt[3]{2} + \sqrt{3}$
126074
Proof of the irrationality of $\sqrt{3}$ - logic question
103744
Minimal $ab$ for Rational Number $a/b$ in an Interval
144244
Bound on difference between irrational square root and rational number
72144
Show that $\mathbb Q(\sqrt p) \not\simeq\mathbb Q(\sqrt q)$
49750
Proof of the square root inequality $2\sqrt{n+1}-2\sqrt{n}<\frac{1}{\sqrt{n}}<2\sqrt{n}-2\sqrt{n-1}$
91101
Proving $\sqrt2$ is irrational
92226
Prove $\sqrt6$ is irrational
10008
Proof that the nth root of a rational s/t is irrational unless s and t are perfect nth powers
44440
Prove $\sqrt{2}+\sqrt[3]{5}$ is irrational
127102
Upper bound for $\sqrt[n]{n!}$
53139
How to demonstrate that there is no all-prime generating polynomial with rational cofficents?
51653
Prove that $m+\frac{4}{m^2}\geq3$ for every $m > 0$
78985
Prove that: $\sqrt{2\sqrt{3\sqrt{4\cdots\sqrt{n}}}}<3,\,\forall n\in\mathbb N.$
129521
Is $\sqrt[3]{5}$ in $\mathbb Q(\sqrt[3]{2})$?