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Simplifying Rational Functions with Factoring and GCFs - Problem 6

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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

Fractions that have radicals, or roots, in them are commonly faced when working with the quadratic formula. To simplify the expression, first simplify the radical if possible. Next, look for a common factor in the numerator, looking at the outside only of the radical. Once that greatest common factor has been "undistributed," you can look to reduce that value with something from the denominator. You can check your work using a calculator by finding a decimal approximation for your original problem and comparing it to a decimal approximation for your final result.

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