Question

How do you simplify `(sqrt2 +2sqrt2 + sqrt8)/ sqrt3`?

Answer 1

In this way:

`(sqrt2 +2sqrt2 + sqrt8)/ sqrt3=(sqrt2+2sqrt2+sqrt(2^3))/sqrt3=`

`=(sqrt2+2sqrt2+2sqrt2)/sqrt3=(5sqrt2)/sqrt3*sqrt3/sqrt3=`

`=(5sqrt6)/3`.