Presentation on theme: "Simplify Radical Expressions What steps would you take in simplifying the following: (3+9 2 )"— Presentation transcript:
Simplify Radical Expressions What steps would you take in simplifying the following: (3+9 2 )
EQs… How do we simplify algebraic and numeric expressions involving square root? How do we perform operations with square roots?
Vocabulary Simplest 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 expressions denominator.
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.
Example 1 Use the product property of radicals Simplify the expression.
* To multiply radicals: multiply the coefficients and then multiply the radicands and then simplify the remaining radicals.