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5.6 Radical Expressions

5.6 Radical Expressions. Alg 2. Simplifying Radical Expressions. A radical expression is in simplified form when the following conditions are met. The index n is as small as possible The Radicand contains no factors that are the nth powers of an integer or polynomial

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5.6 Radical Expressions

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  1. 5.6 Radical Expressions Alg 2

  2. Simplifying Radical Expressions A radical expression is in simplified form when the following conditions are met. • The index n is as small as possible • The Radicand contains no factors that are the nth powers of an integer or polynomial • The Radicand contains no fractions • No radicals appear in a denominator

  3. Simplify Factor into squares where possible. Product Property of Radicals Simplify. Answer:

  4. Simplify Answer:

  5. Simplify Rationalize the denominator. Answer: Product Property Factor into squares.

  6. Simplify Factor using squares. Multiply. Combine like radicals.

  7. Simplify Answer:

  8. Simplify F O I L Product Property Answer:

  9. Simplify FOIL Multiply. Answer: Subtract.

  10. Simplify each expression. a. b. Answer: Answer: 41

  11. Conjugates • When there is a binomial in the denominator you must use conjugates to rationalize the denominator.

  12. Simplify Multiply. Multiply by since is the conjugate of Combine like terms. Answer: FOIL Difference of squares

  13. Simplify Answer:

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