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Rationalizing a Denominator with a Binomial - Problem 5

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Teacher/Instructor Alissa Fong
Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

As with any fractions, if we wish to add or subtract, we'll need to have common denominators. With radical binomial denominators, like here, we'll multiply each fraction top and bottom by the other fraction's denominator. In this example, the radicals all become real numbers in the bottom, so we only need to be careful with distributing the subtraction sign and simplifying the numerator. You can use a calculator to check your solution.

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