Radical expressions involve finding the root of a number, which is the inverse operation of raising a number to a power. The symbol used for radicals is the radical sign, and it consists of an index

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Slide2Square RootsIf  a  is a positive number, then is the positive square root of  a  and is the negative square root of  a . A square root of any  positive  number has two roots – one is positive and the other is negative. Examples: non-real # Introduction to Radicals

Slide3What does the following symbol represent?The symbol represents the positive or principal root of a number. Introduction to Radicals What is the radicand of the expression           ? 5xy

Slide4What does the following symbol represent?The symbol represents the negative root of a number. Introduction to Radicals What is the index of the expression               ? 3

Slide5Cube RootsA cube root of any positive number is positive. Examples: A cube root of any negative number is negative. Introduction to Radicals

Slide6nth  Roots An n th  root of any number  a  is a number whose n th  power is  a . Examples: Introduction to Radicals

Slide7nth  Roots An n th  root of any number  a  is a number whose n th  power is  a . Examples: Non-real number Non-real number Introduction to Radicals

Slide9Simplifying RadicalsSimplifying Radicals using the Product Rule Examples: Product Rule for Square Roots

Slide10Simplifying Radicals using the Quotient RuleExamples: Quotient Rule for Square Roots Simplifying Radicals