This is a free lesson from our course in Amsco's Integrated Algebra

 This lesson explains how to add and subtract like and unlike radicals. Like radicals are radicals those have the same index and the identical radicand. To add and subtract them: • add or subtract the coefficients of the radicals • multiply the sum or difference obtained by the common radical. For example: 2√3+5√3= (2+5) √3 = 7√3. (More text below video...)
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 (Continued from above) Unlike radicals are radicals that have different radicands or different indexes or both. To add and subtract them: • simplify each radical if possible • combine like terms by using distributive property • write the indicated sum or difference of the unlike terms. For example, √3a2+12√a2=√3*√a2+12*√a2=a (√3+12) Note: The sum or difference of unlike radicals cannot always be expressed as a single term. The video above further explains with the help of several examples.

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