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12.2 Operations with Radical Expressions √
Algebra 12.2 Operations with Radical Expressions √
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Review: Simplifying √ Expressions
Prime factorization can be useful 1. Factor terms under the radical. Find the largest perfect square factor(s). Take square roots outside. 2. Rewrite in simplified form.
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Warm-Up: You try.
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Adding and Subtracting Radicals
You can add and subtract terms that have the same radicand. These are LIKE TERMS.
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Add and Subtract: You try.
Simplify each radical term first
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Add and Subtract: Simplify each term first.
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Multiplying Radicals 1. Multiply terms outside the radical together.
2. Multiply terms inside the radical together. 3. Simplify.
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Multiplying Radicals You can multiply using distributive property and FOIL. It’s a DTS!
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Multiply: You try. It’s a PST!
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Dividing to Simplify Radicals
No radicals in the denominator allowed Denominators must be “rationalized.” √ Multiply by 1in the form of √ 3 1
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Using the Conjugate to Simplify
The other part of a DTS Expression Conjugate Product The radical “goes away” every time
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Dividing to Simplify Radicals
conjugate Multiply by 1in the form of conjugate 5 1 11
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Simplify: You try.
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Summary: To ADD and SUBTRACT To MULTIPLY To DIVIDE COMBINE LIKE TERMS
“Outside” NUMBERS x NUMBERS “Inside” NUMBERS x NUMBERS DISTRIBUTE and FOIL To DIVIDE “Rationalize” denominator using 1 Use conjugate ALWAYS SIMPLIFY AT THE END IF YOU CAN
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Homework pg #5-11 odd #19-49 odd
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