Conjugates
Now we will work with special pairs of binomial radical expression such
as the following:
Notice that in each binomial pair, the first terms are the same and the
second terms differ only in sign.
Such pairs of binomial radical expressions are called conjugates.
Definition —
Conjugates
Two binomial radical expressions of the form
 are called conjugates.
Here, a, b, c, and d are rational numbers. Also,
 and
 are not
both rational.
The product of conjugates is a rational number.
Example 1
Find:
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