Form the conjugate of the denominator, , which is .
Place over itself, like this .
Anything divided by itself is just 1, so
equals 1.
When you multiply somthing by 1, it does not change the value.
Therefore we can multiply by
without changing the value. So let's perform
that multiplication:
Indicate the multiplication of numerators and
denominator, all as one fraction:
Use FOIL to multiply out the numerator and denominators:
Combine the like terms in the top. In the bottom
the middle two terms cancel, and we have
Now we replace both 's by :
Make two fractions:
Edwin