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Published byLiliana Patterson Modified over 8 years ago

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Objective: Add, subtract and multiplying radical expressions; re-write rational exponents in radical form. Essential Question: What rules apply for adding, subtracting and multiplying radicals? What are rational exponents?

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Parts of a radical expression:

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Part 1: How to Simplify 1. Make a factor tree 2. Circle groups of Two (square root) Three (cube root) Four (fourth root) Move one number from each group to the outside

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Simplify

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Part 2: Rational Exponents Rational Exponents: Exponents that are written as fractions

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Re-write in radical form

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Part 3: Multiplying You cannot multiply radicals if the indexes are different Multiply the coefficients and radicands Simplify answer by making a factor tree

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Multiply & Simplify

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Part 4: Adding & Subtracting You cannot add/subtract radicals if the indexes or radicands are different Simplify by making a factor tree first Add coefficients, keep the radicand the same

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Combined expressions:

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You Try! 1) Simplify: 2) 3) Write in radical form: 4) Multiply 5) Combined:

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You Try! 1) Simplify: 2) 3) Write in radical form: 4) Multiply 5) Combined:

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You Try! 1) Simplify: 2) 3) Write in radical form: 4) Multiply 5) Combined:

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You Try! 1) Simplify: 2) 3) Write in radical form: 4) Multiply 5) Combined:

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You Try! 1) Simplify: 2) 3) Write in radical form: 4) Multiply 5) Combined:

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You Try! 1) Simplify: 2) 3) Write in radical form: 4) Multiply 5) Combined:

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