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Published byLesley Chapman Modified over 7 years ago

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Simplifying Radical Expressions

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

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Product Property of Radicals Examples

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Examples:

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

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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

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

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Examples:

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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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Multiplying radicals - Distributive Property

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Multiplying radicals - FOIL F O I L

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Examples: F O I L

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F O I L

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

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

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Examples:

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