polynomials denominators
Multiplifying polynomials
Recall that in general (a+b)2 ≠ a2+b2
Example 0.1 let a = 3 and b = 4
Using the distributive property and the FOIL property we
can multiply rad -
ical expressions in the same way we multiplied polynomials.
Example 0.2
Example 0.3
Example 0.4
Example 0.5
We do not want to leave roots in the denominator of a
fraction. When we
encounter a single root in the denominator just multiply the top and bottom
of the fraction by a value that will create an integer in the denominator.
Example 0.6
Example 0.7
Example 0.8
Definition 0.1 The conjugate of a + b is a - b.
When the denominator contain two terms , we rationalize the denominator
by multiplying the top and bottom of the fraction by the conjugate of de-
nominator.
Example 0.9
Example 0.10
Example 0.11
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