Chapter 11 Sec 1 Simplifying Radical Expressions

2 of 13 Algebra 1 Chapter 11 Section 1 Product Property of Square Roots The Magic Key to the whole process… PERFECT SQUARES Find factors that are PERFECT SQUARES

3 of 13 Algebra 1 Chapter 11 Section 1 Simplify Square Roots Simplify. Factors of 12 1 x 12, 2 x 6, 3 x 4 Which pair of factors contains a perfect square? 3 x 4 Factors of 90 1 x 90, 2 x 45, 3 x 30, 5 x 18, 9 x 10 Which pair of factors contains a perfect square? 9 x 10 9 x 10

4 of 13 Algebra 1 Chapter 11 Section 1 Multiply Square Roots The product property can be used to multiply square roots. What factors of 45 is a perfect square? 5 x 9

5 of 13 Algebra 1 Chapter 11 Section 1 Principal roots of Radicals

6 of 13 Algebra 1 Chapter 11 Section 1 Simplify Square Roots with Variables

7 of 13 Algebra 1 Chapter 11 Section 1 Quotient Property of Square Roots If a denominator contains a radical need to use a process called… Rationalizing the denominator Rationalizing the denominator to eliminate the radical from the denominator of the fraction.

8 of 13 Algebra 1 Chapter 11 Section 1 Rationalize the Denominator

9 of 13 Algebra 1 Chapter 11 Section 1 Rationalize the Denominator 1 3

10 of 13 Algebra 1 Chapter 11 Section 1Conjugates Binomials in the form conjugates are called conjugates. are conjugates. Watch what happens when we multiply them. When conjugate containing radicals are multiplied you eliminate the radicals.

11 of 13 Algebra 1 Chapter 11 Section 1 Use Conjugates to Rationalize the Denominator

12 of 13 Algebra 1 Chapter 11 Section 1 Simplest Radical Form When simplifying radical expressions, check the following conditions to determine if the expression is in simplest form.

13 of 13 Algebra 1 Chapter 11 Section 1 Daily Assignment Chapter 11 Sections 1 Study Guide (SG) Pg 145 – 146 All