A. Form the "conjugate surd" of the denominator:
1. Copy it over.
2. Change the sign of the second term only.

So the conjugate surd of denominator  is 

B. Put the conjugate surd over itself, forming a fraction which has numerical value 1.

Putting the conjugate over itself:



C.  Multiply the original fraction by this one. This is permissible 
because it only amounts to multiplying by 1.

×

D. Form into one fraction by indicating the multiplication of the numerators
and the denominators:

  

E. Use FOIL and/or distributive law to multiply out the top and bottom:

Here we use FOIL for both:

 
             
Squaring square roots takes away the radical:



The two middle terms in the bottom cancel out:







Make into 4 fractions:

 

Simplify the signs:



Cancel what will cancel:



You might want to rearrange it so that it begins with a positive term:



Edwin