Question

How do you simplify `sqrt3 (4 + sqrt12)`?

Answer 1

`4sqrt(3)+6`

Explanation:

`sqrt(3)*(4+sqrt(12)) =`
`= 4sqrt(3)+sqrt(3)*sqrt(12) =`
`= 4sqrt(3)+sqrt(3*12) =`
`= 4sqrt(3)+sqrt(36) =`
`= 4sqrt(3)+6`