Do-Now: Simplify (using calculator) A. B. C. D.

9.1 Properties of Radicals - Day 1 Objective: Simplify Radicals

Definitions Radical Expression: an expression that contains a radical. Simplest Form: the following three conditions are met No radicals have perfect nth powers as a factor other than 1 No radicands contain fractions No radicals appear under the denominator

Product Property of Square Roots: The square root of a product equals the product of the square roots of the factors. Algebra: Numbers:

Examples:

Quotient Property of Square Roots: The square root of a quotient equals the quotient of the square roots of the numerator and the denominator. Algebra: Numbers:

Examples:

Rationalizing the Denominator: The process used to “get rid” of a radical in the denominator. Multiply the fraction by the appropriate form of 1 to eliminate the radical from the denominator.

Examples:

Examples:

Examples:

Class work Page 485 #13-27 odd 45-51 odd

9.1 Radicals – DAY 2

Like Radicals: Radicals with the same index and radicand Like Radicals: Radicals with the same index and radicand. (You can add and subtract like radicals the same way you combine like terms by using the Distribution Property)

Examples: