Rational Roots Theorem corollary and piano tuning: $\big(\frac{a}{b}\big)^n \neq 2$
127443
Looking for a simple proof of why you can't mathematically tune a piano
118916
How do I prove that a polynomial F[x] of degree n has at most n roots
96592
Showing that the roots of a polynomial with descending positive coefficients lie in the unit disc.
65335
A "binomial" generalization of harmonic numbers
87735
Prove that the roots $\in \Bbb R$ of $x^3+x+1=0$ aren't rational without RRT
148163
Show that if m/n is a good approximation of $\sqrt{2}$ then $(m+2n)/(m+n)$ is better
43188
The $n^{th}$ root of the geometric mean of binomial coefficients.
11664
If $a_0+\frac{a_1}{2}+\dots + \frac{a_n}{n+1}=0$ then $a_nx^n+\dots + a_0$ has a root in $[0,1]$
119991
Why Rational Root Theorem requires integer coefficient polynomials?
145509
Prove the roots of $p(z)+z^n\bar{p}(\frac{1}{z})$ lie on the unit circle
132931
Determining the parity of the coefficients of a quadratic given that there is a rational solution
1190
Square Root of Rational Number $\frac{A}{B}$
86882
Proving Gauss' polynomial theorem (Rational Root Test)
7500
$\arctan$ of a square root as a rational multiple of $\pi$
19254
How many rationals of the form $\large \frac{2^n+1}{n^2}$ are integers?
112334
Real roots of a polynomial of real co-efficients , with the co-efficients of $x^2 , x$ and the constant term all $1$
29578
Why is $\binom{2n}{n} \asymp \Theta \big(\frac{2^{2n}}{\sqrt{n}}\big)$?