mgb5e_ppt_8_3 - Adding and Subtracting Radical Expressions...

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§ 8.3 Adding and Subtracting Radicals
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Martin-Gay, Beginning Algebra, 5ed 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 Algebra, 5ed 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 Algebra, 5ed 4 = + 3 7 3 3 8 = - 2 4 2 10 2 6 3 2 4 2 + Can not simplify 3 5 + Can not simplify
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Unformatted text preview: Adding and Subtracting Radical Expressions Example: Martin-Gay, Beginning Algebra, 5ed 5 Simplify the following radical expression. =-+-3 3 12 75 =- + -3 3 3 4 3 25 =- + -3 3 3 4 3 25 =-+-3 3 3 2 3 5 ( 29 =-+-3 3 2 5 3 6-Adding and Subtracting Radical Expressions Example: Martin-Gay, Beginning Algebra, 5ed 6 Simplify the following radical expression. =-+ 9 14 64 3 3 =-+ 9 14 4 3 3 14 5 +-Adding and Subtracting Radical Expressions Example: Martin-Gay, Beginning Algebra, 5ed 7 Simplify the following radical expression. Assume that variables represent positive real numbers. = + x x x 5 45 3 3 = + x x x x 5 5 9 3 2 = + x x x x 5 5 9 3 2 = + x x x x 5 5 3 3 = + x x x x 5 5 9 ( 29 = + x x x 5 9 x x 5 10 Adding and Subtracting Radical Expressions Example:...
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mgb5e_ppt_8_3 - Adding and Subtracting Radical Expressions...

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