Presentation on theme: "Introduction to Radicals"— Presentation transcript:
1 Introduction to Radicals Radical ExpressionsFinding a root of a number is the inverse operation of raising a number to a power.radical signindexradicandThis symbol is the radical or the radical signThe expression under the radical sign is the radicand.The index defines the root to be taken.
2 Introduction to Radicals Square RootsA square root of any positive number has two roots – one is positive and the other is negative.If a is a positive number, thenis the positive square root of a andis the negative square root of a.Examples:non-real #
3 Introduction to Radicals What does the following symbol represent?The symbol represents the positive or principal root of a number.What is the radicand of the expression ?5xy
4 Introduction to Radicals What does the following symbol represent?The symbol represents the negative root of a number.What is the index of the expression ?3
5 Introduction to Radicals Cube RootsA cube root of any positive number is positive.A cube root of any negative number is negative.Examples:
6 Introduction to Radicals nth RootsAn nth root of any number a is a number whose nth power is a.Examples:
7 Introduction to Radicals nth RootsAn nth root of any number a is a number whose nth power is a.Examples:Non-real numberNon-real number
8 Introduction to Radicals Radicals with VariablesExamples:
9 Simplifying Radicals using the Product Rule Product Rule for Square RootsExamples:
10 Simplifying Radicals using the Quotient Rule Quotient Rule for Square RootsExamples:
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