When we run across those situations we will

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Unformatted text preview: milar rule for radicals with odd indexes such as the cube root in part (d) above. This is because there will never be more than one possible answer for a radical with an odd index. We can also write the general rational exponent in terms of radicals as follows. m æ 1ö a = ç an ÷ = èø m n ( a) n m m 1 a n = ( am ) n = n am OR We now need to talk about some properties of radicals. Properties If n is a positive integer greater than 1 and both a and b are positive real numbers then, 1. n 2. n 3. n an = a ab = n a n b a na = b nb Note that on occasion we can allow a or b to be negative and still have these properties work. When we run across those situations we will acknowledge them. However, for the remainder of this section we will assume that a and b must be positive. Also note that while we can “break up” products and quotients under a radical we can’t do the same thing for sums or differences. In other words, n a+b ¹ n a + n b AND n a -b ¹ n a - n b If you aren’t sure that you believe this consider the following quick...
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.

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