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Published bySilvia Chase Modified over 8 years ago

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EQ: How are properties of exponents used to simplify radicals? What is the process for adding and subtracting radicals?

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Parts of a radical expression:

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How to Simplify 1. Factor the term 2. Rewrite under the radical 3. Circle groups of like terms according to index Two (square root) Three (cube root) Four (fourth root) 4. Simplify

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a) Simplify

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b) Simplify

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c) Simplify

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d) Simplify

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Simplify

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Adding & Subtracting Radicals You can only add “like radical expressions”. This means you can only add radicals if the index and radicands are the same.

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a)

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b)

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c)

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d)

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e)

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f)

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Different Radicands You can only add “like radical expressions.” In order to simplify, you must simplify each radical, then only add/subtract terms with the same radicand.

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Ex 5) Simplify

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You Try!

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Simplify

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Simplify:

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Simplify

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Simplify:

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Combined expressions: Simplify:

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