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McGraw Hill Integrated II, 2012 View details

3. Simplifying Radical Expressions

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Exercise 45 Page 249

To rationalize a fraction with a binomial denominator, we multiply the numerator and denominator of the fraction by the conjugate of the denominator.

6sqrt(3)+9sqrt(2)/2

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To rationalize a fraction with a binomial denominator, we multiply the numerator and denominator of the fraction by the conjugate of the denominator. Let's first rewrite the denominator. 3sqrt(3)/-2+sqrt(6) ⇔ 3sqrt(3)/sqrt(6)-2We find the conjugate by changing the sign of the second term of the expression.