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

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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?

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.

7-3: Binomial Radical Expressions
Your Turn Add or subtract, if possible: Not possible

7-3: Binomial Radical Expressions
Sometimes radicals can be added/subtracted, but they need to be simplified first.

7-3: Binomial Radical Expressions

7-3: Binomial Radical Expressions
When radicals are in the form of binomials, they can be multiplied together using FOIL

7-3: Binomial Radical Expressions

7-3: Binomial Radical Expressions
Assignment Page 382 Problems 1 – 6, all – 17, odd (show work)

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?

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.

7-3: Binomial Radical Expressions
Your Turn Multiply each pair of conjugates

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:

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

7-3: Binomial Radical Expressions
Your Turn Rationalize the denominator

7-3: Binomial Radical Expressions
Your Turn Rationalize the denominator

7-3: Binomial Radical Expressions
Assignment Page 382 Problems 19 – 26, all (show work)