Question

How do you rationalize the following problem 1/ (1+ square root of 3 - square root of 5)?

Answer 1

`-(sqrt3+sqrt5)/2`

Explanation:

`1/(sqrt3-sqrt5)=1/(sqrt3-sqrt5) (sqrt3+sqrt5)/(sqrt3+sqrt5)=`

`=(sqrt3+sqrt5)/((sqrt3)^2-(sqrt5)^2)=(sqrt3+sqrt5)/(3-5)=`

`=(sqrt3+sqrt5)/-2=-(sqrt3+sqrt5)/2`