question about the proof about the square root of natural numbers
1383
How to prove: if $a,b \in \mathbb N$, then $a^{1/b}$ is an integer or an irrational number?
33757
For what natural numbers is $n^3 < 2^n$? Prove by induction
24403
Prove that $ n < 2^{n}$ for all natural numbers $n$.
84558
Prove that the square root of a positive integer is either an integer or irrational
31836
Proof of $\lim_{n\to \infty} \sqrt[n]{n}=1$
126074
Proof of the irrationality of $\sqrt{3}$ - logic question
96332
Prove by induction that $\sqrt[n+1]{n+1}<\sqrt[n]{n}$ for $n\ge 3$
123427
Proving the sum of the first $n$ natural numbers by induction
150088
Prove that $\sqrt {n − 1} +\sqrt {n + 1}$ is irrational for every integer $n ≥ 1$
158335
Why is this $0 = 1$ proof wrong?
6582
Prove the existence of the square root of $2$.
62485
How can I prove $\sqrt{2}^{\sqrt{2}^{\sqrt{2}^{\sqrt{2}^{\sqrt{2}...}}}}=2$
111432
Square root of a number squared is equal to the absolute value of that number
95293
Proof that $|\sqrt{x}-\sqrt{y}| \leq \sqrt{|x-y|},\quad x,y \geq 0$
52427
Prove, $\sqrt{n} \le (n!)^\frac{1}{n} \le \frac{n+1}{2} $
24601
Proving that a natural number made entirely of 6's and 0's is not a square.
67605
Different proof that $\sqrt{2}$ is irrational