Simple algebra question (if even that advanced).

Expand: (x+ 2) / sqrt(x)

I know the answer is sqrt(x) + 2/sqrt(x) but I really have no idea how that answer was achieved. Any help is appreciated.

Question

Simple algebra question (if even that advanced).

Expand: (x+ 2) / sqrt(x)

I know the answer is sqrt(x) + 2/sqrt(x) but I really have no idea how that answer was achieved. Any help is appreciated.

hoblos · Answer

(x+ 2) / sqrt(x) = x/sqrtx  + 2/sqrtx
                        =  sqrtx  + 2/sqrtx

anonymous · Answer

$$\frac{x+2}{\sqrt{x}}$$?

anonymous · Answer

Yes

anonymous · Answer

Alright, how the heck is $$x/\sqrt{x} = \sqrt{x}$$ ?

hoblos · Answer

x/sqrtx  = x/x^1/2  = x * x^-1/2 = x^1/2 = sqrtx

anonymous · Answer

Ha, thanks. I mean, I'm taking Calculus II and stuff like this sometimes gets me. Maybe I need to go back to developmental math :)