1 / 13

Section 7.4 Multiply & Divide Radical Expressions

Section 7.4 Multiply & Divide Radical Expressions. Multiplying Radical Expressions Powers of Radical Expressions Rationalizing Denominators Rationalizing 2-Term Denominators Rationalizing Numerators. Multiplying a Monomial by a Monomial.

MikeCarlo
Download Presentation

Section 7.4 Multiply & Divide Radical Expressions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Section 7.4 Multiply & Divide Radical Expressions • Multiplying Radical Expressions • Powers of Radical Expressions • Rationalizing Denominators • Rationalizing 2-Term Denominators • Rationalizing Numerators

  2. Multiplying a Monomial by a Monomial Use the commutative and associative properties of multiplication to multiply the coefficients and the radicals separately. Then simplify any radicals in the product, if possible. Product Rule:

  3. Multiplying a Polynomial by a Monomial To multiply a polynomial by a monomial, use the distributive property to remove parentheses and then simplify each resulting term, if possible.

  4. Using FOIL to Multiply Radicals To multiply a binomial by a binomial, we use the FOIL method.

  5. Examples for You

  6. Rationalizing a Denominator(leave no radical in the denominator) A radical expression is in simplified form when each of the following statements is true. 1. No radicals appear in the denominator of a fraction. 2. The radicand contains no fractions or negative numbers. 3. Each factor in the radicand appears to a power that is less than the index of the radical.

  7. Dividing and Rationalizing the Denominator To divide radical expressions, rationalize the denominatorof a fraction to replace the denominator with a rational number. To eliminate the radical in the denominator, multiply the numerator and the denominator by a number that will give a perfect square under the radical in the denominator.

  8. Simplifying Before Rationalizing

  9. PracticeRationalizing Monomial Denominators

  10. Rationalizing Binomial Denominators To rationalize a denominator that contains a binomial expression involving square roots, multiply its numerator and denominator by the conjugate of its denominator. Conjugate binomials are binomials with the same terms but with opposite signs between their terms

  11. PracticeRationalizing Binomial Denominators

  12. Rationalizing Numerators In calculus, we sometimes have to rationalize a numerator by multiplying the numerator and denominator of the fraction by the conjugate of the numerator.

  13. What Next? • Section 7.5Radical Equations

More Related