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Section 8.5

Section 8.5. Rationalizing Denominators. A radical expression is simplified if…. The radicand has no factor raised to a power greater than or equal to the root index. There are neither radicals in the denominator of a fraction nor radicands that are fractions.

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Section 8.5

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  1. Section 8.5 Rationalizing Denominators

  2. A radical expression is simplified if… • The radicand has no factor raised to a power greater than or equal to the root index. • There are neither radicals in the denominator of a fraction nor radicands that are fractions. • All possible sums, differences, products, and quotients have been found.

  3. To Rationalize Denominator • … means to rewrite the expression so that the denominator does not have a radical. • Multiply the fraction by a well chosen “1” so that the denominator will have a radicand that is a perfect nth power.

  4. Denominators like (a + n√b) • Multiply the numerator and denominator by the CONJUGATE! • The conjugate of (a + n√b) is (a - n√b)

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