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CHAPTER_ppt_10_4 - 10.4 Adding Subtracting and Multiplying...

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§ 10.4 Adding, Subtracting, and Multiplying Radical Expressions
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Martin-Gay, Beginning and Intermediate Algebra, 4ed 2 Sums and Differences Rules in the previous section allowed us to split radicals that had a radicand which was a product or a quotient. We can NOT split sums or differences. b a b a + + b a b a - -
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Martin-Gay, Beginning and Intermediate Algebra, 4ed 3 In previous chapters, we’ve discussed the concept of “like” terms. These are terms with the same variables raised to the same powers. They can be combined through addition and subtraction. Similarly, we can work with the concept of “like” radicals to combine radicals with the same radicand. Like radicals are radicals with the same index and the same radicand. Like radicals can also be combined with addition or subtraction by using the distributive property. Like Radicals
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Martin-Gay, Beginning and Intermediate Algebra, 4ed 4 = + 3 7 3 3 8 = - 2 4 2 10 2 6 3 2 4 2 + Cannot simplify 3 5 + Cannot simplify Adding and Subtracting Radical Expressions Example:
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