Recall that when we first wrote down the properties

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Unformatted text preview: . The process is the same however. 5 5 = 4 x+ 3 4 x+ 3 ( (4 ) (4 ) = 5(4 x - 3 ) = 5( 4 x - 3 ) 16 x - 3 3) (4 x + 3)(4 x - 3) x- 3 x- [Return to Problems] Rationalizing the denominator may seem to have no real uses and to be honest we won’t see many uses in an Algebra class. However, if you are on a track that will take you into a Calculus class you will find that rationalizing is useful on occasion at that level. We will close out this section with a more general version of the first property of radicals. Recall that when we first wrote down the properties of radicals we required that a be a positive number. This was done to make the work in this section a little easier. However, with the first property that doesn’t necessarily need to be the case. Here is the property for a general a (i.e. positive or negative) n ìa an = í îa if n is even if n is odd where a is the absolute value of a. If you don’t recall absolute value we will cover that in detail in a section in the next chapter. All that you need to do is know at this po...
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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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