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Multiplying Radicals of the Same Root - 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

Just as when we multiply any binomials, we need to make sure every term is multiplied by both terms in the other parentheses. An acronym that helps people organize this is FOIL, which stands for firsts, outsides, insides, lasts. When multiplying radicals, we multiply the numbers outside and also the numbers inside. After the terms have been multiplied, the next step is to combine like terms- we can add or subtract radicals that have the same radicand, or number under the root.

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