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

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Page 1: EQ: How are properties of exponents used to simplify radicals? What is the process for adding and subtracting radicals?

SIMPLIFYING RADICAL EXPRESSION

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

Page 2: EQ: How are properties of exponents used to simplify radicals? What is the process for adding and subtracting radicals?

Parts of a radical expression:

Page 3: EQ: How are properties of exponents used to simplify radicals? What is the process for adding and subtracting radicals?

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

Page 4: EQ: How are properties of exponents used to simplify radicals? What is the process for adding and subtracting radicals?

a) Simplify

Page 5: EQ: How are properties of exponents used to simplify radicals? What is the process for adding and subtracting radicals?

b) Simplify

Page 6: EQ: How are properties of exponents used to simplify radicals? What is the process for adding and subtracting radicals?

c) Simplify

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d) Simplify

Page 8: EQ: How are properties of exponents used to simplify radicals? What is the process for adding and subtracting radicals?

Page 9: EQ: How are properties of exponents used to simplify radicals? What is the process for adding and subtracting radicals?

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Simplify

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Simplify

Page 13: EQ: How are properties of exponents used to simplify radicals? What is the process for adding and subtracting radicals?

Simplify

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Simplify

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Simplify

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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.

Page 26: EQ: How are properties of exponents used to simplify radicals? What is the process for adding and subtracting radicals?

Ex 5) Simplify 482273122

Page 27: EQ: How are properties of exponents used to simplify radicals? What is the process for adding and subtracting radicals?

You Try! 204805453

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Simplify50

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Simplify

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Simplify:

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Simplify:

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Simplify:

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Simplify:

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Simplify:

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Simplify:

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Simplify:

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Simplify

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Simplify

Page 39: EQ: How are properties of exponents used to simplify radicals? What is the process for adding and subtracting radicals?

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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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Simplify:

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Simplify:

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