1. Conjugate of Denominator
SIMPLIFYING QUOTIENTS OF RADICALS
Conjugate:
Value or that is multiplied to a radical expression
That clears the radical.
Rationalizing:
Removing a radical expression from the denominator of a fraction.
Process: Multiply the fraction by a factor of one its conjugate of denominator.
_NUMERATOR_
DENOMINATOR
Conjugate of Denominator
_NUMERATOR_
DENOMINATOR
Example 1 Rationalizing Square Roots
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2. Practice Rationalizing Square Roots
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3. Example 2 Rationalizing Square Roots with variables
When using variables, how many more variables are needed to complete the index. Square roots = make pairs with all variables.
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4. Example 3: Rationalizing Cube Roots
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5. PRACTICE: Rationalizing Cube Roots
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6. Example 4 Tougher Rationalizing – Multiple Variables
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7. PRACTICE - Simplifying Radicals:
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8. PRACTICE - Simplifying Radicals: continued
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9. Binomial
Conjugate:
Binomial that differ only by an addition or subtraction of terms.
The product of binomial conjugates is a difference of squares (FOIL)
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10. What is the Binomial Conjugate and Find the product?
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11. Example 1: Use Binomials Conjugates to Rationalize

12. Practice: Use Binomials Conjugates to Rationalize
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