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Unformatted text preview: Chapter 10 Rational Exponents, Radicals, and Complex Numbers Â§ 10.1 Radicals and Radical Functions MartinGay, Beginning and Intermediate Algebra, 4ed 3 Square Roots The inverse of squaring a number is taking the square root of a number. A number b is a square root of a number a if b 2 = a. In order to find a square root of a , you need a number that, when squared, equals a. MartinGay, Beginning and Intermediate Algebra, 4ed 4 Principal and Negative Square Roots If a is a nonnegative number, then is the principal or nonnegative square root of a a is the negative square root of a . aPrincipal Square Roots MartinGay, Beginning and Intermediate Algebra, 4ed 5 A radical expression is an expression containing a radical sign . A radicand is the expression under a radical sign. Note that if the radicand of a square root is a negative number, the radical is NOT a real number. Radicands MartinGay, Beginning and Intermediate Algebra, 4ed 6 = 49 7 = 16 25 4 5 =4 2Radicands Example: MartinGay, Beginning and Intermediate Algebra, 4ed 7 Square roots of perfect square radicands simplify to rational numbers (numbers that can be written as a quotient of integers). can be written as a quotient of integers)....
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 Fall '10
 Alraban
 Math, Radicals, Exponents, Square Roots, Complex Numbers

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