Question

How do you simplify `sqrt2 (sqrt8 + sqrt4)`?

Answer 1

multiply and try to get rid of `sqrt()`'s if possible

Explanation:

`sqrt(2)(sqrt(8) + sqrt(4)) = sqrt(2)sqrt(8) + sqrt(2)sqrt(4)`

`=sqrt(16) + sqrt(2)*2`

`= 4+2sqrt(2)`
or
`= 4+sqrt(8)`