Question 674307
Simplify. 

{{{ (1 + sqrt(3)) / (1 - sqrt(3)) }}}


We want to multiply the denominator by its conjugate in order to make the denominator equal "1." The denominator's conjugate is {{{ (1 + sqrt(3)) }}}. Now we have...


{{{ (1 + sqrt(3))(1 + sqrt(3)) }}}



Use the FOIL method to simplify.


{{{ 1 + sqrt(3) + sqrt(3) + 3 }}}

Combine like terms.

{{{ 4 + 2sqrt(3) }}}