Presentation on theme: "7.1 – Radicals Radical Expressions"— Presentation transcript:
1 7.1 – Radicals Radical 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 signradical signindexradicandThe expression under the radical sign is the radicand.The index defines the root to be taken.
2 7.1 – Radicals Radical Expressions The above symbol represents the positive or principal root of a number.The symbol represents the negative root of a number.
3 7.1 – Radicals Square Roots A 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 #
4 7.1 – Radicals Rdicals Cube Roots A cube root of any positive number is positive.A cube root of any negative number is negative.Examples:
5 7.1 – Radicalsnth RootsAn nth root of any number a is a number whose nth power is a.Examples:
6 7.1 – Radicalsnth RootsAn nth root of any number a is a number whose nth power is a.Examples:Non-real numberNon-real number
7 7.2 – Rational ExponentsThe value of the numerator represents the power of the radicand.The value of the denominator represents the index or root of the expression.Examples: