1MPES2 – Radicals

Ecole Supérieure de Commerce de Neuchâtel

Pierre Marchal5.11.2015

http://creativecommons.org/licences/by/3.0/Attribute to: Tyler Wallace (University of Memphis)

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

Radicals are exponents

• A radical is a exponent:

• Examples:

rational

Radicals – 1st Radical Rule

• Power of a product:

• Radical of a product:

Radicals – 2nd Radical Rule

• Power of a quotient:

• Radical of a quotient:

Radicals – 3rd Radical Rule

• Power of a power:

• Radical of a power / power of a radical:

To simplify: Order of Operations !

Exercise

• Simplify these two expressions:

… …

Exercises

• Exercise n° 35 page 9• Exercise n° 36 page 9• Exercise n° 37 page 9

Summary of radicals properties

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

Any question ?

THANK YOU FOR YOUR ATTENTIONSee you on Monday, enjoy your week-end but please learn your lessons!