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Dividing Radicals and Rationalizing the Denominator - Problem 9

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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

In math, we aim to leave all denominators rational, meaning your final expressions shouldn't have any roots in the bottom of a fraction. If there is a root, you "rationalize the denominator" by multiplying top and bottom of the fraction by that root- which is really just multiplying by one. The same is true if your numerator is a binomial. You could choose to reduce the roots before or after the multiplication- you should get the same answer either way.

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