Prove that $q$ is a perfect square
11506
Alternative proof that $(a^2+b^2)/(ab+1)$ is a square when it's an integer
44307
Prove $\sqrt[3]{3} \notin \mathbb{Q}(\sqrt[3]{2})$
55206
Prove that the equation $x^4+(2k^2)x^2+2k^4$ is not a perfect square
72666
Prime Numbers And Perfect Squares
102154
If $a$ and $b$ are consecutive integers, prove that $a^2 + b^2 + a^2b^2$ is a perfect square.
125164
How to prove the existence of $b$ in $Q$ such that $a<b^2<c$ in $Q$?
6582
Prove the existence of the square root of $2$.
92106
Prove that $n$ is a sum of two squares?
52157
Prove that $d(n)\leq 2\sqrt{n}$
27086
proof for $\langle q| p \rangle = e^{ipq}$
120774
Show that $f$ has exactly one zero on the square $Q =$ {$x + iy ∈ \Bbb C : |x| < 1, |y| < 1$}.
44790
Find $n$ for which $\frac{n(n+1)}{2}$ is perfect square
142513
Prove that $2xy\mid x^2+y^2-x$ implies $x$ is a perfect square.
154082
Product of factorials divided by factorial to produce perfect square
54355
$1+x+\ldots+x^n$ perfect square
58264
How to derive the formula for the sum of the first $n$ perfect squares?
105564
If $n$ is a positive integer greater than 1 such that $3n+1$ is perfect square, then show that $n+1$ is the sum of three perfect squares.