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6.3 Computing with Radicals

6.3 Computing with Radicals. Algebra II Mrs. Spitz Spring 2007. Objective. Add, subtract, multiply and divide radical expressions. Assignment. Pp. 266-267 #5-52 every 3 rd problem. If you need more practice, do every problem.

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6.3 Computing with Radicals

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  1. 6.3 Computing with Radicals Algebra II Mrs. Spitz Spring 2007

  2. Objective • Add, subtract, multiply and divide radical expressions.

  3. Assignment • Pp. 266-267 #5-52 every 3rd problem. If you need more practice, do every problem. • You will have a quiz on Friday, so you need to review over these on Thursday.

  4. a2 + b2 = c212 + 12 = c22 = c The geometric dot paper at the bottom right shows the construction of a segment that is 2 units long. Estimate the sum of the two lengths based on your estimate, do you think 2 + 2 = 2+2 or 2? As you have just observed, a + b = a + b just like a2 + b2≠ (a + b)2. Adding radicals is like adding other monomials. You wouldn’t say x2 + x2 = (x + x)2. you know that x2 + x2 = 2x2 because you add like terms. So you must add like terms with radicals also. Two radical expressions are calledLIKE RADICAL EXPRESSIONS. 1 1

  5. Some examples of like and unlike radical expressions are given below. To add or subtract radicals, just combine like terms as you do when you add or subtract other monomials.

  6. Ex. 1: Simplify

  7. Ex. 2: Simplify

  8. Ex. 3: Simplify

  9. Ex. 4: Simplify

  10. Ex. 5: Simplify

  11. Ex. 6: Simplify The conjugate of the denominator!

  12. Ex. 6: Simplify

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