Introduction to Radicals

Introduction to Radicals
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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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Slide1Introduction to RadicalsRadical Expressions Finding a root of a number is the inverse operation of raising a number to a power. This symbol is the radical or the radical sign index radical sign radicand The expression under the radical sign is the radicand. The index defines the root to be taken.

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

Slide8Radicals with VariablesExamples: 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

Slide11Simplifying Radicals Containing VariablesExamples: Simplifying Radicals

Slide12Simplifying Cube RootsExamples: Simplifying Radicals

Slide13Examples:Simplifying Radicals

Slide14Examples:Simplifying Radicals

Slide15Day One Stop Here

Slide16Review and Examples:Adding and Subtracting Radicals

Slide17simplifying radicals prior to adding or subtractingAdding and Subtracting Radicals

Slide18simplifying radicals prior to adding or subtractingAdding and Subtracting Radicals