# Math Help - square root and squares

1. ## square root and squares

Hello, I know that sqrt(x^2) = +/- x
is (sqrt(x))^2 the same thing or is the answer just x.
thanks
bill

2. Originally Posted by billq
Hello, I know that sqrt(x^2) = +/- x is \sqrt{x^2})the same thing or is the answer just x
The statement in red in incorrect.
$\sqrt{x^2}\not=\pm x$

This is true $\sqrt{x^2}=|x|$

3. thanks. so does (sqrt(x))^2 = |x| or just x ?

4. $(\sqrt{x})^2=x$ because $x$ must be non-negative.

5. great, thanks for the fast response.