Questions on Algebra: Square root, cubic root, N-th root answered by real tutors!

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Question 154005: (sqr of 12xy)cubed times (x times sqr of xsquared y)=
Couldn't figure out how they got the answer they did?: (sqr of 12xy)cubed times (x times sqr of xsquared y)=
Couldn't figure out how they got the answer they did?
Answer by ankor@dixie-net.com(4501) About Me  (Show Source):
You can put this solution on YOUR website!
(sqr of 12xy)cubed times (x times sqr of xsquared y)=
:
Assume your mean:
(sqrt(12xy))^3 * (x*sqrt(x^2y)) = (sqrt(12xy))^3 * sqrt(x^4y))
We can write this:
sqrt(12xy)* sqrt(12xy) * sqrt(12xy) * sqrt(x^4y))
Which is:
12xy * sqrt(12xy) * sqrt(x^4y)) = 12xy * sqrt(12xy*x^4y) = 12xy * sqrt(4*3*x^2x^2x*y^2); factor to reveal the perfect squares
Extract the perfect squares
12xy*2x^2y*sqrt(3x) = 24x^3y^2sqrt(3x)