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Operations with Radical Expressions

Operations with Radical Expressions. Chapter 10 Section 2. Add and Subtract Radical Expressions. Monomials. Radical Expressions. 2 = 9 15 = 12. 15y – 3y = (15 – 3)y = 12y 2x + 7x = (2 + 7)x = 9x. Add and Subtract Radical Expressions. (4 + 6 – 5) 5 12 + 3

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Operations with Radical Expressions

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  1. Operations with Radical Expressions Chapter 10 Section 2

  2. Add and Subtract Radical Expressions Monomials Radical Expressions 2 = 9 15 = 12 • 15y – 3y = (15 – 3)y = 12y • 2x + 7x = (2 + 7)x = 9x

  3. Add and Subtract Radical Expressions (4 + 6 – 5) 5 • 12 + 3 (12-8) + (3+6) 4 + 9 4 + 9 cannot be simplified further because the radicands are different and there are no common factors. Also, each radicand is in simplest form already. If the radicals in an expression are not in simplest form, simplify them first.

  4. Add and Subtract Radical Expressions with unlike radicands • Simplify 2 • 2 = 2 = 2(2) = 4 • = 3 = 3(3) = • = = • (4+9+6) 19

  5. Multiply Radical Expressions • FOIL- First terms, Outer terms, Inner terms, Last terms • Foil Review: Find the product of (2y +3)(6y-7) F O I L (2y)(6y) + (2y)(-7) + (3)(6y) + (3)(-7) 12 - 14y + 18y + (-21) 12+ 4y - 21

  6. Multiply Radical Expressions • (4(3 F O I L (4)(3)+(4(-)+(-2)(3)+(- 2)(- 12- 4 - 6 + 2 12 - 4 - 6 + 2 12 - 20 - 18 + 2 1- 38

  7. Multiply Radical Expressions • Try on your own: (5 – 4)(6

  8. Homework Page 538 #1-23 odd, 31, 33, 42, 43

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