document.write( "Question 481362: Can you help me sove this. Divide, then simplify by taking roots, if possible. Assume all expressions under radicals represent positive numbers.\r
\n" ); document.write( "\n" ); document.write( "sqrt(324xy)/3 sqrt(3) \n" ); document.write( "
Algebra.Com's Answer #329645 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
your expression is sqrt(324xy)/3sqrt(3)
\n" ); document.write( "sqrt(324) = 18 because 18^2 = 324, so you can remove the 324 from under the square root sign to get 18sqrt(xy)
\n" ); document.write( "your expression becomes:
\n" ); document.write( "18sqrt(xy)/3sqrt(3)
\n" ); document.write( "you can divide 18 by 3 to get:
\n" ); document.write( "6sqrt(xy)/sqrt(3)
\n" ); document.write( "you can multiply the expression by sqrt(3)/sqrt(3) to get:
\n" ); document.write( "6sqrt(xy)sqrt(3)/sqrt(3)^2 which becomes:
\n" ); document.write( "6sqrt(xy)sqrt(3)/3
\n" ); document.write( "sqrt(xy)sqrt(3) is equivalent to sqrt(3xy), so your expression becomes:
\n" ); document.write( "6sqrt(3xy)/3
\n" ); document.write( "you can divide 3 into 6, so your expression becomes:
\n" ); document.write( "2sqrt(3xy)
\n" ); document.write( "i believe that's as far as you can go.
\n" ); document.write( "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.
\n" ); document.write( "i picked x = 3 and y = 7
\n" ); document.write( "from the original expression, i got 15.87450787
\n" ); document.write( "from the final expression, i got 15.87450787
\n" ); document.write( "they're the same so i can assume i did the simplification correctly.\r
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