+0

# Algebra help

+1
48
2
+1837

(sqrt(-2(h+x))-sqrt(-2x))/h

How do I simplify this?  Anyone who knows and can give step-by-step answers, I would really appreciate it.  Thanks.

gibsonj338  Apr 21, 2018
Sort:

#1
+2611
+1

I'll post a solution later, but my answer is: $$\frac{\sqrt{2h-2x}}{h}-i \frac{\sqrt2\sqrt x}{h}$$

tertre  Apr 21, 2018
#2
+92458
+1

(sqrt(-2(h+x))-sqrt(-2x))/h

$$\frac{{\sqrt{-2(h+x)}-\sqrt{-2x}} }{h} \\ \frac{{\sqrt{-1}\sqrt{2(h+x)}-\sqrt{-1}\sqrt{2x}} }{h} \\ \frac{\sqrt{-1}\left[\sqrt{2(h+x)}-\sqrt{2x}\right]}{h} \\ \frac{\left[\sqrt{2h+2x}-\sqrt{2x}\;\right]\;i}{h} \\ or\\ \frac{\left[\sqrt{h+x}-\sqrt{x}\;\right]\sqrt2\;i}{h} \\$$

the final answer really depends on what you are doing it for.

Melody  Apr 21, 2018