find an example which is not obtained by attaching a square root of an element of F?
68065
Quadratic extensions in characteristic $2$
108633
Why $f^{-1}(f(A)) \not= A$
110051
Is square root a function?
10943
What is an example of a radical of sum of ideals not being equal to the sum of radicals?
145549
Generalizing values which Euler's-totient function does not take
82630
How is it, that $\sqrt{x^2}$ is not $ x$, but $|x|$?
73702
What are examples of irreducible but not prime elements?
42774
Examples of involutions on $\mathbb{R}$
23712
$F$ is a finite field of size $s$. Prove that if $s=2^m$ for some $m>0$, then all elements of F have a square root.
32443
Find the kernel of a ring homomorphism $f(x)\to f(\sqrt 2)$
55582
How can I show that $\sqrt{1+\sqrt{2+\sqrt{3+\sqrt\ldots}}}$ exists?
111679
Example of a ring without unity that has a subring with unity?
82675
What is an example of function $f: \Bbb{N} \to \Bbb{Z}$ that is a bijection?
155935
Examples where $H\ne \mathrm{Aut}(E/E^H)$
17886
Values of square roots
41363
when is f@g not the same as f[g]?
63701
An example of a regular function over an open set