Question

How do you simplify `sqrt3(sqrt12+sqrt6)`?

Answer 1

`=6+3sqrt2`

Explanation:

Firstly multiply the brackets.

`sqrt3(sqrt12+sqrt6)=sqrt3sqrt12+sqrt3sqrt6`

`=sqrt36+sqrt18`

Now simplify the square roots.

`=6+sqrt(9xx2)=6+sqrt9sqrt2`

`=6+3sqrt2`