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Unformatted text preview: traight to the final form of this and leave the
details to you to check.
[Return to Problems] (b) 9 x 6
This radical violates the second simplification rule since both the index and the exponent have a
common factor of 3. To fix this all we need to do is convert the radical to exponent form do some
simplification and then convert back to radical form.
© 2007 Paul Dawkins 19 http://tutorial.math.lamar.edu/terms.aspx College Algebra 9 6 1 2 1 x6 = ( x6 ) 9 = x 9 = x 3 = ( x2 )3 = 3 x 2
[Return to Problems] (c) 18 x 6 y11
Now that we’ve got a couple of basic problems out of the way let’s work some harder ones.
Although, with that said, this one is really nothing more than an extension of the first example.
There is more than one term here but everything works in exactly the same fashion. We will
break the radicand up into perfect squares times terms whose exponents are less than 2 (i.e. 1). 18 x 6 y11 = 9 x 6 y10 ( 2 y ) = 9 ( x3 ) 2 ( y ) (2 y)
52 Don’t forget to look for perfect squares in the number as we...
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