Question

How do you simplify `(5 sqrt 2 + sqrt 3)(sqrt 2 + 2 sqrt 3)`?

Answer 1

`16+11sqrt6`

Explanation:

`(5sqrt2+sqrt3)*(sqrt2+2sqrt3)=`
`(5sqrt2*sqrt2+5sqrt2*2sqrt3+sqrt3*sqrt2+sqrt3*2sqrt3)=`
`(5*2+10sqrt6+sqrt6+2*3)=`
`(10+11sqrt6+6)=`
`16+11sqrt6`