Wednesday, May 21, 2014

How do you rationalize this: the n-th root is 3 5/81 ?

First rewrite as an improper fraction:

3%265%2F81=248%2F81
then multiply by a rational power of 81 such that it will multiply by the nth root of 81 and result in 81. The n-1 root will do this:



and finally...

%0D%0A%28root%28n%2C248%29%2Aroot%28n%2C81%5E%28n-1%29%29%29%2F81%0D%0A

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