Question

How do you simplify `5sqrt3 * 8sqrt2`?

Answer 1

`40sqrt6`

Explanation:

Multiply the roots with the roots
and the integers with integers

`sqrt3` and `sqrt2` are the roots
`5` and `8` are the integers

`5sqrt(3)*8sqrt2" "` is the same as `" "5*8*sqrt(3)*sqrt(2)`

`rarr5*8=40`

`rarrsqrt(3)*sqrt(2)=sqrt(3*2)=sqrt(6)`

Hence, `5*8*sqrt(3)*sqrt(2)=color(blue)(40sqrt6)`