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Divide Radical Expressions

Divide Radical Expressions. Lesson 3.4 Page 142. Simplest Form. A radical expression is in simplest form when the following three conditions have been met . No radicands have perfect square factors other than one. No radicands contain fractions .

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Divide Radical Expressions

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  1. Divide Radical Expressions Lesson 3.4 Page 142

  2. Simplest Form A radical expression is in simplest form when the following three conditions have been met. • No radicands have perfect square factors other than one. • No radicands contain fractions. • No radicals appear in the denominator of the fraction.

  3. Quotient Property of Radicals The Quotient Property of Radicals states that the square root of a quotient equals the quotient of the square roots of the numerator and denominator.

  4. Rationalizing the Denominator The process of eliminating a radical from an expression’s denominator is called rationalizing the denominator.

  5. Simplify.Example 1:

  6. Example 2:

  7. Example 3:

  8. Radical Conjugates • The binomials are called radical conjugates. The product of these two expressions does not contain radicals. and

  9. Example 4: This conjugate factor is another form of the number 1

  10. Homework Assignment: Page 144 # 10 – 18 all

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