Prove quotient is a perfect square
11506
Alternative proof that $(a^2+b^2)/(ab+1)$ is a square when it's an integer
127566
$2AB$ is a perfect square and $A+B$ is not a perfect square
92106
Prove that $n$ is a sum of two squares?
67968
When is $2^n -7$ a perfect square?
23099
Verifying that the ideal $(x^3-y^2)$ is prime
142513
Prove that $2xy\mid x^2+y^2-x$ implies $x$ is a perfect square.
50266
In the following figure prove that: $AK||BC$
147892
Proving if $x<y$ then $\sqrt{x} < \sqrt{y}$
79103
Check if a number is a perfect square
5692
Proving that there is a perfect square between $n$ and $2n$
29251
Show that the square of any prime number is the Factof of some integer
72313
Show that for all real numbers $a$ and $b$, $\,\, ab \le (1/2)(a^2+b^2)$
100913
It is impossible for $(x-1)^2+x^2+(x+1)^2$ to be a perfect square
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.
77081
Proving square root of a square is the same as absolute value
57368
Prove that a positive polynomial function can be written as the squares of two polynomial functions
81671
Proof of identity $\sqrt {xy} = \sqrt x \sqrt y$ for $x,y \in \mathbb R^+$