1. 1MPES2 – Radicals Ecole Supérieure de Commerce de Neuchâtel Pierre Marchal 5.11.2015 http://creativecommons.org/licences/by/3.0/ Attribute to: Tyler Wallace (University of Memphis)

2. Objectives of the course By the end of the course, you should be able to know and to use: – The definition of a radical as an exponent – Apply all power rules to radicals Radical of product Radical of a quotient Radical of a power / power of a radical

3. Radicals are exponents A radical is a exponent: Examples: rational

4. Radicals – 1 st Radical Rule Power of a product: Radical of a product:

5. Radicals – 2 nd Radical Rule Power of a quotient: Radical of a quotient:

6. Radicals – 3 rd Radical Rule Power of a power: Radical of a power / power of a radical: To simplify: Order of Operations !

7. Exercise Simplify these two expressions: … …

8. Exercises Exercise n° 35 page 9 Exercise n° 36 page 9 Exercise n° 37 page 9

9. Summary of radicals properties

10. By the end of this course You are able to give and to use: – The definition of a radical as an exponent – Apply all power rules to radicals Radical of product Radical of a quotient Radical of a power / power of a radical

11. Any question ?

12. THANK YOU FOR YOUR ATTENTION See you on Monday, enjoy your week-end but please learn your lessons!