Why is $\sqrt{x^2}$ always $x$?
102138
Why does $\sqrt{x^2}$ seem to equal $x$ and not $|x|$ when you multiply the exponents?
80549
Why is it called a quadratic if it only contains $x^2$, not $x^4$?
70660
Why is $\sqrt{8}/2$ equal to $\sqrt{2}$?
82321
Is $\cos(x) \geq 1 - \frac{x^2}{2}$ for all $x$ in $R$?
144042
On the functional square root of $x^2+1$
27898
Difference between $\sqrt{x^2}$ and $(\sqrt{x})^2$
85351
Standard Deviation. Why do we take the square root of the entire equation?
17265
Intuition for why equations of the form $k^x=x^c$ are not solvable trivially?
73099
Why is $d(x^2)= 2xdx$?
100913
It is impossible for $(x-1)^2+x^2+(x+1)^2$ to be a perfect square
101904
Why does this limit exist $x^{x}$
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?
7463
Square root of a square
68838
Why $\sqrt[3]{3}\not\in \mathbb{Q}(\sqrt[3]{2})$?
39170
Existence of square root
19676
Is it known whether ${\sqrt{2}}^{\sqrt{2}}$ is irrational?