Adding, Subtracting, and Multiplying Radical Expressions 13.6 Adding, Subtracting, and Multiplying Radical Expressions

Sums and Differences Rules in the previous section allowed us to split radicals that had a radicand which was a product or a quotient. We can NOT split sums or differences.

Like Radicals Like radicals are radicals with the same index and the same radicand. Like radicals can also be combined with addition or subtraction by using the distributive property.

Example Add or subtract as indicated. a. b. c. d.

Example Simplify the radical expression.

Example Add or subtract.

Example Add. Assume that variables represent positive real numbers.

Example Multiply. a. b. 8