Question

How do you simplify `(1+ 2 sqrt(3)) /( 1+ sqrt(3))`?

Answer 1

`=(5-sqrt3)/2`

Explanation:

`=(2sqrt3+1)/(sqrt3+1)=(2sqrt3+1)/(sqrt3+1)xx(sqrt3-1)/(sqrt3-1)`
`=(2sqrt3*sqrt3+sqrt3-2sqrt3-1)/(3-1)`
`=(5-sqrt3)/2`