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**11.1 Simplifying Radical Expressions**

Definitions 2 Simplifying Radicals 3 Practice Problems

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Definitions

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Perfect Squares

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How a Square Root Works

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**Simplifying Square Roots**

Steps Factor the radicand into the product of the largest factor that is a perfect square Separate the square root into 2 separate square roots Solve the perfect square Check to make sure you can’t factor the radicand by another perfect square

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**Simplifying a Square Root Example**

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**Multiplying Square Roots**

Steps Multiply the real numbers & leave outside the square root Multiply the radicands to each other & leave inside the square root Simplify the square root if possible

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**Multiplying a Square Root Example**

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**Multiplying a Square Root Example**

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**Simplifying a Square Root with Variables**

Steps Rewrite the variable as a square using the exponent rules Squares (2nd power) will cancel with square roots

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**Square Root Variable Example**

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**Putting It All Together**

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**Putting It All Together (Cont.)**

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Practice Problems Page Problems 4-8, 14-25 NO WORK = NO CREDIT

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