This is probably a really easy task for the people of this site judging by what is normally discussed here. (I'm amazed by the knowledge here!)
I have this expression that I need to simplify:
$\frac{(x-2)^2}{\sqrt{(2-x)^2}}$
From what I've understood $\sqrt{a^2}$ is the same thing as $|a|$ so I can rewrite the expression as:
$\frac{(x-2)^2}{|2-x|}$
...and this is where I can't get any further. My guess is that I should think of the definition for absolute value and maybe do something like:
$\left\{ \begin{array}{ccc} 2-x & if & x < 2 \\ -(2-x) & if & x > 2 \end{array} \right.$
But I don't know... I don't understand it, I'm just guessing. Also, what about the numerator? When searching the net, it's like only the absolute value expression is the one you work with (in examples like the one above). I just don't get it. :(
I'd really be grateful for an explanation of this problem!