Square root of x squared is…
[Update: Commenters have convinced me that my objection was over-picky, and I am backing off my contention - jd]
I think New York State doesn’t know. That would explain their answer to the Integrated Algebra 2 and Trigonometry Regents #32. They got it wrong…
We want to simplify
Simple, right? That should be x.
Look at that! When x is non-negative we get x, but when x is negative we get -x (in other words, the opposite, a positive number)
Looks like … surprised?
Now look at NY State’s problem: Express in simplest radical form.
See the trap. Watch NYSED fall into it…
Really, few of us teach students about this detail. And you’ll survive. But we should be telling you.