Question

How do you multiply `(4sqrt18)(2sqrt14)`?

Answer 1

`48sqrt(7)`

Explanation:

You can multiply the numbers outside the roots and them try to manipulate the arguments of the square roots:
`4*2sqrt(18)sqrt(14)=`
`=8sqrt(9*2)sqrt(7*2)=`
`=8*3sqrt(2)sqrt(7*2)=` take one big root:

`=24sqrt(2*7*2)=`
`=24sqrt(7*4)=48sqrt(7)`