Simplifying Radical Expressions - PowerPoint PPT Presentation

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Simplifying Radical Expressions

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Simplifying Radical Expressions. Product Property of Radicals. For any numbers a and b where and , ... Reverse of the Distributive Property. Examples: Examples: ... – PowerPoint PPT presentation

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Title: Simplifying Radical Expressions


1
Simplifying Radical Expressions
2
Product Property of Radicals
3
Product Property of Radicals Examples
4
Examples
5
Examples
6
Quotient Property of Radicals
7
Examples
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Examples
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Rationalizing the denominator
Rationalizing the denominator means to remove any
radicals from the denominator. Ex Simplify
10
Simplest Radical Form
  • No perfect nth power factors other than 1.
  • No fractions in the radicand.
  • No radicals in the denominator.

11
Examples
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Examples
13
Adding radicals
We can only combine terms with radicals if we
have like radicals
Reverse of the Distributive Property
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Examples
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Examples
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Multiplying radicals - Distributive Property
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Multiplying radicals - FOIL
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Examples
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Examples
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Conjugates
21
The product of conjugates is a rational number.
Therefore, we can rationalize denominator of a
fraction by multiplying by its conjugate.
22
Examples
23
Examples
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