Doesn't the solutions of square roots break the transitive law?
3955
Square roots -- positive and negative
85540
Prove or Disprove the Existence of Solutions...
75690
Does the given matrix have a square root?
71044
Can the square root of a real number be negative?
150624
Why does the square root of a square involve the plus-minus sign?
49444
Why isn't $e^{2\pi xi}=1$ true for all $x$?
67605
Different proof that $\sqrt{2}$ is irrational
101162
Square root of $2$ is irrational
143733
Is this proof that $\sqrt 2$ is irrational correct?
39170
Existence of square root
53945
The square root of a prime number is irrational
82630
How is it, that $\sqrt{x^2}$ is not $ x$, but $|x|$?
14877
Why is this relation not transitive?
41204
Why do I get one extra wrong solution when solving $2-x=-\sqrt{x}$?
37915
$\sqrt{2}$ is irrational proof using well-Ordering Property
40343
Solutions of $p!q! = r!$
43985
Why must $a$ and $b$ both be coprime when proving that the square root of two is irrational?