Square root equation

Hi,

I wanted to simplify the following equations:

(sqrt((x+1)-(x-1))) / (sqrt((x+1)+(x-1))) and (sqrt((x+1)+(x-1))) / (sqrt((x+1)-(x-1)))

Can anybody help, please?

Yeah, that definitely makes a difference! Please write this out on paper so that it will be easier and clearer for you to see:

[√(x+1)-√(x-1)] / [√(x+1)+√(x-1)]
[√(x+1)-√(x-1)][√(x+1)-√(x-1)] / [√(x+1)+√(x-1)][√(x+1)-√(x-1)]
[(x+1)-2√(x-1)√(x+1)+(x-1)] / [(x+1)-(x-1)]
[2x-2√(x-1)√(x+1)] / (x+1-x+1)
2[x-√(x-1)√(x+1)] / 2
x-√(x-1)√(x+1)
x-√(x^2-1)
_____________________________________

[√(x+1)+√(x-1)] / [√(x+1)-√(x-1)]
[√(x+1)+√(x-1)][√(x+1)+√(x-1)] / [√(x+1)-√(x-1)][√(x+1)+√(x-1)]
[(x+1)+2√(x+1)√(x-1)+(x-1)] / [(x+1)-(x-1)]
[2x+2√(x+1)√(x-1)] / (x+1-x+1)
[2x+2√(x+1)√(x-1)] / 2
{2[x+√(x+1)√(x-1)]} / 2
x+√(x+1)√(x-1)
x+√(x^2-1)

Very similar looking answers but one is x-√(x^2-1) and the other is x+√(x^2-1).

326 :)