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

1 Answer
WinnFarrow
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#

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