Question

How do you simplify (sqrt(3) - 1)/(1+sqrt(3))?

Answer 1

`2-sqrt(3)`

Explanation:

`(sqrt(3)-1)/(1+sqrt(3)`=`(-1+sqrt(3))/(1+sqrt(3))`

= `(-1+sqrt(3))/(1+sqrt(3)). (1-sqrt(3))/(1-sqrt(3))`

= `(-1+2sqrt(3)-3)/(1-3)`= `(2sqrt(3)-4)/(-2)`
= `2-sqrt(3)`