Rationalization

RATIONALIZATION

It is customary that we do not leave radicals in denominators. We multiple the fraction by a form of one to remove the radical from the denominator. Remember multiplying a number by one or a form of one does not change the number's value. Here is an example of rationalization:

=   =   = = = =

If we were to change    to exponential form (5/4^1/3)(4^2/3/4^2/3) = 5(4^2/3)/4^{1/3 + 2/3} = 5(16^1/3)/4^3/3 = 5(8^1/32^1/3)/4 =10(2^1/3)/4 = 5(2^1/3)/2 =

There is another form of problem that require rationalization. This is a problem such as     This is solve by multiplying the fraction by the denominator's conjugate       in the form of one. That is     =
return