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Radical Expressions and Rational Exponents
Algebra
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Property
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Multiply Radicals - Example
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Multiply Radicals - Practice
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Simplified Radical Expressions
Radical expressions are considered “simplified” when all possible integers have been brought outside the radical sign. Simplified Radical Expressions
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Simplify Radicals - Example
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Simplify Radicals - Practice
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Simplify Radicals - Example
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Simplify Radicals - Practice
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Property
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Simplify Radicals - Example
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Simplify Radicals - Practice
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Rationalize the Denominator – Rewriting a fraction so there are no radicals in the denominator. Multiplying the denominator by any radicals removes the radical. Definition
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Rationalizing - Example
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Rationalizing - Example
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Rationalizing - Practice
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Summary
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Multiplication and division inside radicals can be combined
Simplified without radical in denominator Simplified when no integers can be removed Big Idea - Summary
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Summary
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Example
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Radical Expressions
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Rational Exponents – Another way to write radical expressions
Vocabulary
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Rational Exponents
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Conjugates - Example
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Rational Exponents - Practice
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Rational Exponents - Example
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Rational Exponents - Practice
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Rational Exponents - Practice
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Exponents - Summary
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Rational Exponents - Example
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Rational Exponents - Example
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Rational Exponents - Practice
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Simplified exponents are always positive numbers
Rational Exponents
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Rational Exponents - Example
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Rational Exponents - Practice
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Big Idea - Summary Radical index is denominator of fractional exponent
Multiply terms with common base – Add exponents Divide terms with common base – Subtract the denominator Negative exponents – Make positive and switch to other side of fraction Exponent to an exponent – Multiply exponents Big Idea - Summary
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Practice
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Practice
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Practice
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Practice
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Practice
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Example
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Example
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Pages 615 – 616 30 – 56 even, even, Homework
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