Rationalizing the Denominator
Rationalize the denominator:
Solution
To eliminate the square root, we can multiply by the conjugate
of
We multiply
by 1 written in
the form


Multiply the numerators and multiply
the denominators. 

In the numerator, use the Distributive
Property. 

In the denominator, use the FOIL method. 

In the denominator, combine like terms.


We normally do not leave a negative
number in the denominator. Therefore,
multiply by 1 in the form


Multiply the numerators and multiply
the denominators. 

