Question

How do you simplify `\frac { 3\sqrt { 12} } { 5\sqrt { 9} }`?

Answer 1

`(2sqrt(3))/(5)`

Explanation:

First, let's expand the given problem:
`(3sqrt(4*3))/(5sqrt(9))`

Further simplified we get:
`(3*sqrt(4)*sqrt(3))/(5sqrt(9))`

Continuing with simplification:
`(3*2*sqrt(3))/(5*3)`

Cross out the 3's and get the final answer:
`(cancel(3)*2*sqrt(3))/(5*cancel(3))` = `(2sqrt(3))/5`