Unformatted text preview: . The process is the same however. 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)
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.
- Spring '12