To rationalize a fraction with a binomial denominator, we multiply the numerator and denominator of the fraction by the conjugate of the denominator.
2-sqrt(3)/2
Practice makes perfect
To rationalize a fraction with a binomial denominator, we multiply the numerator and denominator of the fraction by the conjugate of the denominator. We find the conjugate by changing the sign of the second term of the expression.
Binomial
Conjugate
a + b
a - b
a - b
a + b
In this case, the conjugate of the denominator is 4-sqrt(12).
We know that we have successfully rationalized the denominator because the radical has been eliminated. However, our fraction can still be simplified a bit further. Let's try!
