How do you rationalize the denominator #(2+sqrt3)/(2-sqrt3)#?
The conjugate of a binomial
note that the product of such conjugates
and this allows us to clear radicals (for example from a denominator; although this requires that the radical show up some where else; in this case in the numerator).
Using the given
If we multiply the denominator by the conjugate of the denominator (we will also have to multiply the numerator by the same amount to avoid changing the value of the expression), we get