Presentation on theme: "Simplify Radical Expressions"— Presentation transcript:
1 Simplify Radical Expressions What steps would you take in simplifying the following:√(3+92)
2 EQs…How do we simplify algebraic and numeric expressions involving square root?How do we perform operations with square roots?
3 VocabularySimplest Form – A radical expression is in simplest form if no perfect square factors other than 1 are in the radicand, no fractions are in the radicand, and no radicals appear in the denominator of the fraction.Rationalizing the Denominator – The process of eliminating a radical from an expression’s denominator.
4 Vocabulary Radical Conjugates – Product Property of Radicals – States that the square root of a product equals the product of the square roots of the factors.Quotient Property of Radicals – States that the square roots of a quotient equals the quotient of the square roots of the numerator and denominator.
5 Example 1 Use the product property of radicals Simplify the expression.
6 Multiplying Radicals*To multiply radicals: multiply the coefficients and then multiply the radicands and then simplify the remaining radicals.