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Simplifying Radical Expressions Product Property of Radicals For any numbers a and b where and,

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Presentation on theme: "Simplifying Radical Expressions Product Property of Radicals For any numbers a and b where and,"— Presentation transcript:

1

2 Simplifying Radical Expressions

3 Product Property of Radicals For any numbers a and b where and,

4 Product Property of Radicals Examples

5 Examples:

6

7 Quotient Property of Radicals For any numbers a and b where and,

8 Examples:

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10 Rationalizing the denominator Rationalizing the denominator means to remove any radicals from the denominator. Ex: Simplify

11 Simplest Radical Form No perfect nth power factors other than 1. No fractions in the radicand. No radicals in the denominator.

12 Examples:

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14 Adding radicals We can only combine terms with radicals if we have like radicals Reverse of the Distributive Property

15 Examples:

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17 Multiplying radicals - Distributive Property

18 Multiplying radicals - FOIL F O I L

19 Examples: F O I L

20 F O I L

21 Conjugates Binomials of the form where a, b, c, d are rational numbers.

22 The product of conjugates is a rational number. Therefore, we can rationalize denominator of a fraction by multiplying by its conjugate.

23 Examples:

24


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