Question

How do you simplify `3 sqrt 12 * sqrt 6`?

Answer 1

`color(blue)(18sqrt(2))`

Explanation:

`3sqrt(12)*sqrt(6)`
`color(white)("XXX")=3*sqrt(3xx2xx2)*sqrt(3xx2)`

`color(white)("XXX")=3*sqrt(3^2xx2^2xx2)`

`color(white)("XXX")=3*3*2*sqrt(2)`

`color(white)("XXX")=18sqrt(2)`