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**Unit: Radical Functions 7-3: Binomial Radical Expressions**

Essential Question: What must be true of radical expressions in order to add them, but not multiply them?

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**7-3: Binomial Radical Expressions**

Just like how you can add and subtract like terms, you can add and subtract like radicals. Just like how you can’t add/subtract unlike terms, you can’t add/subtract unlike radicals.

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**7-3: Binomial Radical Expressions**

Your Turn Add or subtract, if possible: Not possible

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**7-3: Binomial Radical Expressions**

Sometimes radicals can be added/subtracted, but they need to be simplified first.

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**7-3: Binomial Radical Expressions**

Your Turn Simplify

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**7-3: Binomial Radical Expressions**

When radicals are in the form of binomials, they can be multiplied together using FOIL

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**7-3: Binomial Radical Expressions**

Your Turn Multiply

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**7-3: Binomial Radical Expressions**

Assignment Page 382 Problems 1 – 6, all – 17, odd (show work)

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**Unit: Radical Functions 7-3: Binomial Radical Expressions (Day 2)**

Essential Question: What must be true of radical expressions in order to add them, but not multiply them?

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**7-3: Binomial Radical Expressions**

Conjugates Conjugates are expressions that differ only by the sign between the two terms. Conjugates are used to eliminate radicals in an expression, as the result is an integer.

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**7-3: Binomial Radical Expressions**

Your Turn Multiply each pair of conjugates

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**7-3: Binomial Radical Expressions**

Rationalizing the denominator Recall that when we rationalized the denominator to a single radical expression, we simply multiplied numerator and denominator by that radical:

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**7-3: Binomial Radical Expressions**

Rationalizing the denominator When dealing with a binomial for a denominator, we multiply numerator and denominator by the denominator’s conjugate

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**7-3: Binomial Radical Expressions**

Your Turn Rationalize the denominator

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**7-3: Binomial Radical Expressions**

Your Turn Rationalize the denominator

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**7-3: Binomial Radical Expressions**

Assignment Page 382 Problems 19 – 26, all (show work)

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7.3 – Binomial Radical Expressions. I. Adding and Subtracting Radical Expressions Like Radicals – radicals that have the same radicand and index.

7.3 – Binomial Radical Expressions. I. Adding and Subtracting Radical Expressions Like Radicals – radicals that have the same radicand and index.

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