SOLUTION: Simplify {{{(root(5,9)-root(5,81))/(root(5,3))}}}

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Question 148163: Simplify
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression.


Factor 81 into 9*9


Break up the root.


Factor out the GCF


Factor 9 into 3*3


Break up the root.


Highlight the common terms.


Cancel out the common terms.


Simplify


Distribute


Combine the roots and multiply


So simplifies to

In other words,

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