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7.4 Dividing Radical Expressions

7.4 Dividing Radical Expressions. Quotient Rules for Radicals Simplifying Radical Expressions Rationalizing Denominators, Part 1. The Quotient Rule for Radicals. Simplify. By taking roots of numerators & denominators. Simplify. By combining and simplifying under the radical.

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7.4 Dividing Radical Expressions

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  1. 7.4 Dividing Radical Expressions • Quotient Rules for Radicals • Simplifying Radical Expressions • Rationalizing Denominators, Part 1 7.4

  2. The Quotient Rule for Radicals 7.4

  3. Simplify • By taking roots of numerators & denominators 7.4

  4. Simplify • By combining and simplifying under the radical 7.4

  5. A Radical Expression is Simplified When: • Each factor in the radicand is to a power less than the index of the radical • The radicand contains no fractions or negative numbers • No radicals appear in the denominator of a fraction 7.4

  6. Rationalize the Denominator • By simplifying inside the radical • Think about what is needed on the bottom! 7.4

  7. Rationalize the Denominator • By simplifying outside the radical 7.4

  8. Rationalize the Numerator ? • Required only for Calculus, but learn the way: 7.4

  9. What Next? More Radical Expressions! • Present Section 7.5 7.4

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