Why does $ \sqrt{x^2} = |x| $
82630
How is it, that $\sqrt{x^2}$ is not $ x$, but $|x|$?
108429
Show that if $x_n \to x$ then $\sqrt{x_n} \to \sqrt{x}$
100995
For what $x$ : $2\sqrt{x}+\dfrac{1}{\sqrt{x+1}} \leq 2\sqrt{x+1}$
54030
Square and square root and negative numbers
155136
$x\in \{\{\{x\}\}\}$ or not?
17707
Why is ${x^{\frac{1}{2}}}$ the same as $\sqrt x $?
73300
How do `>` and `>>` work?
117320
Why is this true: $\|x\|_1 \le \sqrt n \cdot \|x\|_2$?
67605
Different proof that $\sqrt{2}$ is irrational
91101
Proving $\sqrt2$ is irrational
73099
Why is $d(x^2)= 2xdx$?
72892
Does $\sqrt{x}$ have a limit for $x \to 0$?
133496
is $\sqrt{x}$ always positive?
43985
Why must $a$ and $b$ both be coprime when proving that the square root of two is irrational?
14633
What's the thing with $\sqrt{-1} = i$
127830
proof that $\sqrt(2)$ is irrational / why is the fraction irreducible
95293
Proof that $|\sqrt{x}-\sqrt{y}| \leq \sqrt{|x-y|},\quad x,y \geq 0$