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1
To rationalize the denominator of an expression, rewrite it so there 
are no radicals in any denominator and no denominators in any 
radical.
Rationalizing the Denominator
Examples:  Rationalize the denominator
1.
2.
3.
Why?
2
4.
5.
6.
3
Conjugates are number
The conjugate of  is _______________.
The conjugate of  is _______________.
4
8.
9.
Examples:  Multilply
5
Sometimes you need to rationalize the denominator of a fraction when 
the denominator is a binomial radical expression. Multiply the numerator 
and denominator of the fraction by the conjugate of the denominator.
6
Examples:  Simplify Completely
11.
12.

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