# Algebraic conversion of LHS to RHS equation

1. Feb 22, 2013

### physicsernaw

1. The problem statement, all variables and given/known data

I'm having trouble converting the LHS to the RHS of this equation:

http://www.wolframalpha.com/input/?i=%281%2F%28sqrt%285+%2B+h%29+%29-+1%2F%28sqrt%285%29%29%29%2Fh+%3D+-1%2F%28%28sqrt%285%29*sqrt%285%2Bh%29%29*%28sqrt%285%2Bh%29+%2B+sqrt%285%29%29%29

2. Relevant equations

N/A

3. The attempt at a solution

I've tried a bunch of different things. One thing I tried was bringing the h in the denominator to the denominators of the numerators (i.e. making it a factor of the numerators' denominators). With common denominators and factoring out h I end up getting:

[urlhttp://www.wolframalpha.com/input/?i=%28sqrt%285%29+-+sqrt%285%2Bh%29%29%2F%28h*%28sqrt%285%2Bh%29*sqrt%285%29%29%29[/url]

...And I'm stuck there. I would appreciate if someone could just show me step-by-step the solution (working the LHS to meet the RHS please).

Last edited: Feb 22, 2013
2. Feb 22, 2013

### ehild

What is the problem?

ehild

3. Feb 22, 2013

### Ferramentarius

$(a-b)(a+b) = a^2-b^2$ and $a = \sqrt{a} \sqrt{a}$.

4. Feb 22, 2013

### physicsernaw

I got it, thanks all.