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12.2 Operations with Radical Expressions √

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Presentation on theme: "12.2 Operations with Radical Expressions √"— Presentation transcript:

1 12.2 Operations with Radical Expressions √
Algebra 12.2 Operations with Radical Expressions √

2 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.

3 Warm-Up: You try.

4 Adding and Subtracting Radicals
You can add and subtract terms that have the same radicand. These are LIKE TERMS.

5 Add and Subtract: You try.
Simplify each radical term first

6 Add and Subtract: Simplify each term first.

7 Multiplying Radicals 1. Multiply terms outside the radical together.
2. Multiply terms inside the radical together. 3. Simplify.

8 Multiplying Radicals You can multiply using distributive property and FOIL. It’s a DTS!

9 Multiply: You try. It’s a PST!

10 Dividing to Simplify Radicals
No radicals in the denominator allowed Denominators must be “rationalized.” Multiply by 1in the form of 3 1

11 Using the Conjugate to Simplify
The other part of a DTS Expression Conjugate Product The radical “goes away” every time

12 Dividing to Simplify Radicals
conjugate Multiply by 1in the form of conjugate 5 1 11

13 Simplify: You try.

14 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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