Prove that $\sqrt[3]{2} + \sqrt[3]{4}$ is irrational.
58284
How to prove that $\sqrt[3] 2 + \sqrt[3] 4$ is irrational?
44307
Prove $\sqrt[3]{3} \notin \mathbb{Q}(\sqrt[3]{2})$
70315
Process to show that $\sqrt 2+\sqrt[3] 3$ is irrational
59391
$p,q,r$ primes, $\sqrt{p}+\sqrt{q}+\sqrt{r}$ is irrational.
117970
Find the minimal polynomial for $\sqrt[3]{2} + \sqrt[3]{4}$ over $\mathbb{Q}$
23752
Proving Irrationality
87682
Show that $\sqrt{2}\notin \mathbb{Q}(\sqrt[4]{3})$
5529
Proving that $x$ is irrational if $x-\lfloor x \rfloor + \frac1x - \left\lfloor \frac1x \right\rfloor = 1$
147777
If $P$ and $Q$ are distinct primes, how to prove that $\sqrt{PQ}$ is irrational?
127830
proof that $\sqrt(2)$ is irrational / why is the fraction irreducible
139755
Prove that $\sqrt{2}+\sqrt{3}+\sqrt{5}$ is irrational. Generalise this.
30478
How to prove that a number is irrational
78287
Prove that if $n$ is not the square of a natural number, then $\sqrt{n}$ is irrational.
84017
Is $\sqrt[3]{2}$ contained in $\mathbb{Q}(\zeta_n)$?
158066
Prove $2^{1/3}$ is irrational.
31744
Proving that there is an irrational number between any two unequal rational numbers.
67605
Different proof that $\sqrt{2}$ is irrational