Lesson 11-1 Simplifying Radical Expressions

5-Minute Check on Chapter 2 Transparency 3-1 Click the mouse button or press the Space Bar to display the answers. 1.Evaluate 42 - |x - 7| if x = -3 2.Find 4.1  (-0.5) Simplify each expression 3. 8(-2c + 5) + 9c 4. (36d – 18) / (-9) 5.A bag of lollipops has 10 red, 15 green, and 15 yellow lollipops. If one is chosen at random, what is the probability that it is not green? 6. Which of the following is a true statement Standardized Test Practice: ACBD 8/4 < 4/8-4/8 < -8/4-4/8 > -8/4-4/8 > 4/8

Objectives xxxxxx

Vocabulary Radical Expression – Radicand – Rationalizing the denominator – Conjugate –

Square Root Properties Product Property –English: The square root of a product is equal to the product of its square roots –Symbols: Quotient Property –English: The square root of a quotient is equal to the quotient of its square roots –Symbols: √ab = √a  √b a √a --- = ---- b √b

Example 1 A. Simplify Prime factorization of 52 Product Property of Square Roots Answer: Simplify. B. Simplify Product Property of Square Roots Simplify. Prime factorization of 72 Answer: Simplify.

Example 2 Find Product Property Answer: Simplify. Product Property

Example 3 Simplify Prime factorization Product Property Simplify. The absolute value of ensures a nonnegative result. Answer:

Example 4a A. Simplify Answer: Simplify. Product Property of Square Roots Multiply by.

Example 4b B. Simplify Prime factorization Multiply by Answer: Product Property of Square Roots

Example 4c Product Property of Square Roots Prime factorization C. Simplify Multiply by Answer: Cancel out 2 from top and bottom

Example 5 Simplify Simplify. Answer:

Summary & Homework Summary: A radical expression is in simplest form when: –no radicands have perfect square factors other than 1, –no radicands contain fractions, and –no radicals appear in the denominator of a fraction Homework: –pg