Unformatted text preview: n is even, we require x ± . 13 x 2 = x x 3 3 = x x n n = x , if n = 2, 4, 6, … See Warning 4 . ( ) x n n = x , if n = 3, 5, 7, … For example, we simplify 18 using Law 9: 18 = 9 ± 2 = 9 2 = 3 2 . (The greatest perfect square that divides 18 is 9.) WARNING 2 : Although Laws 9 and 10 cover the square root of a product or a quotient , there is no similar law for the square root of a sum or a difference . (See the Exercises.) WARNING 3 : Do not apply Laws 912 to even roots if x < or y < ; we must then deal with imaginary numbers, which are not real numbers. As we will see in Section 2.1, ± 2 ± 3 ² 6 . WARNING 4 : See Law 13. The statement x 2 = x is incorrect if x < 0. For example, if x = ± 3 , ± 3 ( ) 2 = 9 = 3 , not ± 3 ....
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This document was uploaded on 12/29/2011.
 Spring '09
 Radicals, Exponents

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