How can you write the expression with a rationalized denominator? √3-√6 divided by √3+√6

Expert Answers
jgeertz eNotes educator| Certified Educator

`(sqrt3 -sqrt6)/(sqrt3+sqrt6)`

To rationalize the denominator of a fraction, rewrite the fraction so the new fraction has the same value as the original but with a rational denominator.


Now use the difference of squares formula to factor.

`a^2-b^2 =(a-b)(a+b)`


Square each of the expressions in the denominator.


Simplify the rationalized expression.

The solution is: