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Irrational fraction

An irrational fraction is one that contains the variable under a fractional exponent. An example of an irrational fraction is

The process of transforming an irrational fraction to a rational fraction is known as rationalization. Every irrational fraction in which the radicals are monomials may be rationalized by finding the least common multiple of the indices of the roots, and substituting the variable for another variable with the least common multiple as exponent. In the example given, the least common multiple is 6, hence we can substitute x = z 6 {\displaystyle x=z^{6}} to obtain