How to prove the monotonicity of nth root of n (natural numbers)
96332
Prove by induction that $\sqrt[n+1]{n+1}<\sqrt[n]{n}$ for $n\ge 3$
36694
Sum of first n natural numbers proof
27147
Proving $n! > n^3$ for all $n > a$
127056
How to prove that a polynomial of degree $n$ has at most $n$ roots?
145891
Prove that $n! > \sqrt{n^n}, n \geq 3$
142008
Find all natural numbers $n$ such that ${(n+1)}^{1/2}-{(n-1)}^{1/2}$ is rational
31535
Solving an inequality : $n \geq 3$ , $n^{n} \lt (n!)^{2}$.
41354
Binomial-coefficients if, k, m, n natural numbers and k \leq n the result of
78287
Prove that if $n$ is not the square of a natural number, then $\sqrt{n}$ is irrational.
79343
How to compute the nth root of a very big integer
109760
Showing that the product of all $n$th Roots of Unity is $(-1)^{n+1}$
14581
How do we prove $n^n \mid m^m \Rightarrow n \mid m$?
25294
Monotonicity of the sequences $\left(1+\frac1n\right)^n$, $\left(1-\frac1n\right)^n$ and $\left(1+\frac1n\right)^{n+1}$
56464
Proving the irrationality of $e^n$
142992
Prove that for every positive integer $n$, $1/1^2+1/2^2+1/3^2+\cdots+1/n^2\le2-1/n$
33757
For what natural numbers is $n^3 < 2^n$? Prove by induction
100781
Prove the $n$th Fibonacci number is the integer closest to $\frac{1}{\sqrt{5}}\left( \frac{1 + \sqrt{5}}{2} \right)^n$