Is any real number positive ?

Thanks EinstienJr,

did you already know the problem with the question?

If you did you really should say so up front because otherwise, one day you will  ask a 'real' question and I will think,

I won't answer that because I am buy and I expect that he/she already knows the answer. :)

There is a bit of a problem here Einstein,

I have been struggling with exactly the same problem on complex number questions lately.

$$\\(x^2)^{1/2}>0\qquad true\\\\$$

consider

$$\\x^2=36\\ \sqrt{x^2}=\pm 6\\ $I put the square root in so both answers are valid$\\$$

so

$$\\(x^2)^{1/2}\ge0\\ \pm x \ge0\\ $either $x\ge0\;\;or\;\;-x\ge 0\\ $either $x\ge0\;\;or\;\;x\le 0\\ $Hence x is any real number$$ $

Exactly. Here's your cookie, Melody: