Simplifying Radical Expressions

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Simplifying Radical Expressions
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Product Property of Radicals
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Product Property of Radicals Examples
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Examples
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Examples
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Quotient Property of Radicals
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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
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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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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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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
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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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Examples