To prove the expression is a perfect square
11506
Alternative proof that $(a^2+b^2)/(ab+1)$ is a square when it's an integer
19588
$n!+1$ being a perfect square
49750
Proof of the square root inequality $2\sqrt{n+1}-2\sqrt{n}<\frac{1}{\sqrt{n}}<2\sqrt{n}-2\sqrt{n-1}$
50266
In the following figure prove that: $AK||BC$
145447
bilinear form - proof
155789
Integral values of $x$ for which the expression $x^2+19x+92$ is a perfect square
102154
If $a$ and $b$ are consecutive integers, prove that $a^2 + b^2 + a^2b^2$ is a perfect square.
27387
Show that $a+b+c=0$ implies that $32(a^4+b^4+c^4)$ is a perfect square.
135458
When is a sum of consecutive squares equal to a square?
84220
Questions on perfect squares
134121
Determining all the positive integers $n$ such that $n^4+n^3+n^2+n+1$ is a perfect square.
90904
Combinatorial proof of an identity with squared binomial coefficients
67356
When is $2^x+3^y$ a perfect square?
5692
Proving that there is a perfect square between $n$ and $2n$
88425
Prove that $\,\sqrt [n] n < 1 + \sqrt{\frac{2}{n}}\,$
120774
Show that $f$ has exactly one zero on the square $Q =$ {$x + iy ∈ \Bbb C : |x| < 1, |y| < 1$}.
110826
prove that : $ i = \sqrt {-1}\ $