Derivative Rationalizing

[mathitup]

__1________       -    ___1_____
√(x+h)² - 5             √(x²-5)
________________________________                            
                   h

sorry about that, i hope this helps
I need to find out how to rationalize this

 

[pka]

First, simply the fraction \(\displaystyle \frac{{\sqrt {x^2 - 5} - \sqrt {\left( {x + h} \right)^2 - 5} }}{{h\left( {\sqrt {x^2 - 5} } \right)\left( {\sqrt {\left( {x + h} \right)^2 - 5} } \right)}}\).
Then rationalize by multiplying numerator and denominator by \(\displaystyle \sqrt {x^2 - 5} + \sqrt {\left( {x + h} \right)^2 - 5}\)

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[mathitup]

so what happened to the 1's on top in the first part of the question, how were you able to get rid of those?

 

[Unco]

Cross multiply.

By the way, if you ever want to get the code tags to work, type it in notepad and copy over - it looks like it should that way.

 

[mathitup]

oh alright thanks alot, so i just cross the top as it was its own equation? and then its all overe h and then i multiply by the roots to rationalize?