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

1 Answer
Apr 25, 2017

(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