Question

How do you simplify `(2sqrt2 + 2sqrt24) * sqrt3`?

Answer 1

`(2sqrt2+2sqrt24)*sqrt3=2sqrt6+12sqrt2`

Explanation:

`(2sqrt2+2sqrt24)*sqrt3`

= `2sqrt2*sqrt3+2sqrt24*sqrt3`

and as `sqrtaxxsqrtb=sqrtab`, this is equal to

`2sqrt6+2sqrt72`

= `2sqrt(2xx3)+2sqrt(ul(2xx2)xx2xxul(3xx3))`

= `2sqrt6+12sqrt2`