Binomial Radical Expressions

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Presentation transcript:

Binomial Radical Expressions 7.3 Adding, Subtracting, Multiplying and Dividing Binomial Radical Expressions

Adding Radical Expressions Use the same concept as that of adding or subtracting like variables. Example: 7 - 3x + 2x + 5 *Have to have like Terms to Add/Subtract*

Like Radicals are radical expressions that have the same index and the same radicand.

Like Radicals Unlike Radicals

Examples: 1. 2.

3. 4. 5.

Always simplify radicals before combining! 1. 2.

3. 4. 5. 6.

Multiplying Radical Expressions When multiplying radicals, one must multiply the numbers OUTSIDE (O) the radicals AND then multiply the numbers INSIDE (I) the radicals.

Dividing Radical Expressions When dividing radicals, one must divide the numbers OUTSIDE (O) the radicals AND then divide the numbers INSIDE (I) the radicals. Remember to rationalize the denominator if needed!

Examples: 1. 2.

Multiplying Binomials To multiply, USE FOIL! Example 1:

2. 3.

Dividing Binomial Radicals To divide, Rationalize the denominator! (a + b)( a - b) = a2 – b2 These are called conjugates. They make radicals disappear!

Rationalize the denominator 1.

Rationalize the denominator: 2.

Simplify: 1. 2.

3. 4.

Examples: 1.