How do you multiply #4\sqrt { 27} \times \sqrt { 12}#?

1 Answer
Feb 19, 2017

#72#

Explanation:

#4sqrt27xxsqrt12#

Reduce the square roots by determining the factors.

#4sqrt(3*3*3)xxsqrt(2*2*3)#

Remove the squares and simplify.

#4*3sqrt3xx2sqrt3#

#12sqrt3xx2sqrt3#

Multiply the whole numbers and the square roots separately.

#(12xx2)(sqrt3*sqrt3)#

#24*3#

#72#