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Lesson5

# Lesson5 - MA 15200 I Lesson 5 P.3(part 2 Simplifying Square...

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1 MA 15200 Lesson 5 P.3 (part 2) I Simplifying Square Root Radicals A square root is simplified when its radicand has no factors other than 1 that are perfect squares. Remember: 2 a a = , if a is assumed to be positive. We will assume all variables represent positive values. Ex 2: Use factoring and the product (and/or quotient)rule to simplify each. 3 7 5 ) 18 ) 81 a x b a b = = 5 3 8 5 ) 32 2 44 ) 11 c x x m n d mn =

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2 II Addition and Subtraction of Square Roots Two or more square roots can be combined if they have the same radicand. Such radicals are called like radicals. Sometime one or more radical must be simplified in order to combine. Ex 3: Simplify and combine where possible. 3 3 ) 32 162 ) 3 3 48 ) 4 6 3 54 a b a a a c a a a + = - = - =
3 III Rationalizing Denominators The process of rewriting a square root radical expression as an equivalent expression in which the denominator no longer contains any radicals is called rationalizing the denominator.

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