How do you rationalize the denominator and simplify #(4+sqrt3)/(5+sqrt2)#?
To rationalize the denominator we must get rid of any radicals in the denominator.
We can rationalize the denominator of a binomial by multiplying the numerator and the denominator by the conjugate of the denominator.
Definition: the conjugate is what forms a difference of squares. Ex the conjugate of
Thus, the conjugate of
Don't forget that you cannot multiply non radicals with radicals. E.g
Rationalize the denominator of