SOLUTION: Can you help me sove this. Divide, then simplify by taking roots, if possible. Assume all expressions under radicals represent positive numbers. sqrt(324xy)/3 sqrt(3)

Question 481362: Can you help me sove this. Divide, then simplify by taking roots, if possible. Assume all expressions under radicals represent positive numbers.
sqrt(324xy)/3 sqrt(3)
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
your expression is sqrt(324xy)/3sqrt(3)
sqrt(324) = 18 because 18^2 = 324, so you can remove the 324 from under the square root sign to get 18sqrt(xy)
your expression becomes:
18sqrt(xy)/3sqrt(3)
you can divide 18 by 3 to get:
6sqrt(xy)/sqrt(3)
you can multiply the expression by sqrt(3)/sqrt(3) to get:
6sqrt(xy)sqrt(3)/sqrt(3)^2 which becomes:
6sqrt(xy)sqrt(3)/3
sqrt(xy)sqrt(3) is equivalent to sqrt(3xy), so your expression becomes:
6sqrt(3xy)/3
you can divide 3 into 6, so your expression becomes:
2sqrt(3xy)
i believe that's as far as you can go.
you can confirm your simplification is correct by setting some values for x and y at random and solving the expression using the original expression and the final expression.
i picked x = 3 and y = 7
from the original expression, i got 15.87450787
from the final expression, i got 15.87450787
they're the same so i can assume i did the simplification correctly.

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