Unformatted text preview: of x . • If x ± , x is the unique nonnegative real number whose square is x . • The index here is 2. For example, 9 = 3 , and 9 1/2 = 3 . Although 9 has two square roots, 3 and ± 3 , we take the nonnegative square root as our principal square root . Also, = . We will discuss ± 1 in Section 2.1. x n , also written as x 1/ n , is the principal n th root of x . • If n is even and x ± , x n is the unique nonnegative real number whose n th power is x . • If n is odd , x n is the unique real number whose n th power is x . For example, 16 4 = 2 , and ± 8 3 = ± 2 . In Section 6.7, we will see that ± 8 has three complex cube roots, but only one is real ....
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 Spring '09
 Radicals, Exponents, Nth root, nonnegative real number, principal square root

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