Question

How do you multiply `(3sqrt5)(2sqrt 10)`?

Answer 1

This is easier if we first rearrange the sequence of the terms:
`(3sqrt(5))(2sqrt(10))`

`= (3*2)(sqrt(5)*sqrt(10))`

Noting that `sqrt(a)*sqrt(b) = sqrt(a*b)`
and that `sqrt(10) = sqrt(5)(sqrt(2)`

We can write
`= (6)(5sqrt(2))`

`=30sqrt(2)`