Prove that the real root of $x^3 + x + 1$ is irrational
87735
Prove that the roots $\in \Bbb R$ of $x^3+x+1=0$ aren't rational without RRT
88429
Prove $\sqrt{2} + \sqrt{5}$ is irrational
13909
How to find the roots of $x^4 +1$
10882
irrationality of $\sqrt{2}^{\sqrt{2}}$.
84558
Prove that the square root of a positive integer is either an integer or irrational
17930
Please explain this step in proving the square root of 3 is irrational
125267
Prove that $2^{1/2}$ is irrational
110282
Use the unique factorization for integers theorem and the definition of logarithm to prove that $\log_3 (7)$ is irrational.
91101
Proving $\sqrt2$ is irrational
99311
Prove $2^{1/3} + 2^{2/3}$ is irrational
58284
How to prove that $\sqrt[3] 2 + \sqrt[3] 4$ is irrational?
78287
Prove that if $n$ is not the square of a natural number, then $\sqrt{n}$ is irrational.
41486
If $x^n + a_{n-1}x^{n-1} + ... + a_0 = 0$ has a rational root, then such root is an integer
126074
Proof of the irrationality of $\sqrt{3}$ - logic question
50555
Approximation of real number to the power of irrational
15110
About irrational logarithms
140949
Proving that for each prime number $p$, the number $\sqrt{p}$ is irrational