Taking the square root of both sides of a congruence.
82571
Number of solutions of $x^2=1$ in $\mathbb{Z}/n\mathbb{Z}$
3390
finding the real values of $x$ such that : $x=\sqrt{2+\sqrt{2-\sqrt{2+x}}}$
102204
Factoring product of two primes from solutions of congruence
124374
A bijective function between a square and its side
67605
Different proof that $\sqrt{2}$ is irrational
134927
How can a square root be defined since it has two answers?
84558
Prove that the square root of a positive integer is either an integer or irrational
36713
Solving multiple congruences by CRT = Chinese Remainder Theorem
17886
Values of square roots
38954
Is there a convention for power of a half being the positive square root?
115435
Induction: prove using congruences
94327
Cubic Diophantine with two variables
7463
Square root of a square
3955
Square roots -- positive and negative
35867
Squaring sides of an inequality
99146
Find $\sqrt a + \sqrt b + \sqrt c$ only in terms of $p$ .
77081
Proving square root of a square is the same as absolute value