Prove that a logarithm is irrational
110282
Use the unique factorization for integers theorem and the definition of logarithm to prove that $\log_3 (7)$ is irrational.
35837
How to prove that any (integer)$^{1/n}$ that isn't an integer, is irrational?
48225
Proving that $\sin1 $(radian) is irrational without using Taylor Series Expansion.
78287
Prove that if $n$ is not the square of a natural number, then $\sqrt{n}$ is irrational.
158066
Prove $2^{1/3}$ is irrational.
4381
Proof that the set of irrational numbers is dense in reals
126074
Proof of the irrationality of $\sqrt{3}$ - logic question
30411
The closure of the irrational numbers on $\mathbb{R}$
131634
Prove the irrationality of $0.235711131719...$
99311
Prove $2^{1/3} + 2^{2/3}$ is irrational
50555
Approximation of real number to the power of irrational
96204
Irrational number $\sqrt2$ proof
1570
Show that log $Fib_{n}$ is $\theta(n)$
11069
Deciding whether $2^{\sqrt2}$ is irrational/transcendental
5529
Proving that $x$ is irrational if $x-\lfloor x \rfloor + \frac1x - \left\lfloor \frac1x \right\rfloor = 1$
137609
Proving $\lim_{n\rightarrow\infty} n(2^{1/n} - 1) = \log 2$
32
Is $n^{th}$ root of $2$ an irrational number?