Square root of $x^2$ is rational expression or not?
132365
Why is absolute value function not a polynomial?
71044
Can the square root of a real number be negative?
70660
Why is $\sqrt{8}/2$ equal to $\sqrt{2}$?
144244
Bound on difference between irrational square root and rational number
23112
Solving an equation with rational expressions (step by step)
10111
Prove or disprove that Q[√2] is a field
78351
Why is $(2, 1+\sqrt{-5})$ not principal?
6275
How can you prove that the square root of two is irrational?
102138
Why does $\sqrt{x^2}$ seem to equal $x$ and not $|x|$ when you multiply the exponents?
97952
Square root of 1 is (not) -1
11250
Evaluate the expression $\sqrt{2}^{\sqrt{2}^{\sqrt{2}^{\cdots}}}$
67605
Different proof that $\sqrt{2}$ is irrational
106716
The sum of square roots of non-perfect squares is never integer
37189
Exponent of a number is a square root?
148074
Analytic expression for the primitive of square root of a quadratic
117816
Is $\frac{x^2+x}{x+1}$ a polynomial?
21972
How to show that $\sqrt{2}+\sqrt{3}$ is algebraic?