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Essential Question: What must be true of radical expressions in order to add them, but not multiply them? UNIT: RADICAL FUNCTIONS 7-3: BINOMIAL RADICAL.

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Presentation on theme: "Essential Question: What must be true of radical expressions in order to add them, but not multiply them? UNIT: RADICAL FUNCTIONS 7-3: BINOMIAL RADICAL."— Presentation transcript:

1 Essential Question: What must be true of radical expressions in order to add them, but not multiply them? UNIT: RADICAL FUNCTIONS 7-3: BINOMIAL RADICAL EXPRESSIONS

2 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. 

3 7-3: Binomial Radical Expressions  Y OUR T URN  Add or subtract, if possible:  Not possible

4 7-3: Binomial Radical Expressions  Sometimes radicals can be added/subtracted, but they need to be simplified first. 

5 7-3: Binomial Radical Expressions  Y OUR T URN  Simplify 

6 7-3: Binomial Radical Expressions  When radicals are in the form of binomials, they can be multiplied together using FOIL 

7 7-3: Binomial Radical Expressions  Y OUR T URN  Multiply 

8 7-3: Binomial Radical Expressions  Assignment  Page 382  Problems 1 – 6, all 7 – 17, odd (show work)

9 Essential Question: What must be true of radical expressions in order to add them, but not multiply them? UNIT: RADICAL FUNCTIONS 7-3: BINOMIAL RADICAL EXPRESSIONS (DAY 2)

10 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. 

11 7-3: Binomial Radical Expressions  Y OUR T URN  Multiply each pair of conjugates 

12 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: 

13 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 

14 7-3: Binomial Radical Expressions  Y OUR T URN  Rationalize the denominator 

15 7-3: Binomial Radical Expressions  Y OUR T URN  Rationalize the denominator 

16 7-3: Binomial Radical Expressions  Assignment  Page 382  Problems 19 – 26, all (show work)


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