document.write( "Question 559515: add or subtract the square root of 108x - the square root of 27x \n" ); document.write( "
Algebra.Com's Answer #363448 by Theo(13342)\"\" \"About 
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sqrt(108x - sqrt(27x) equals:
\n" ); document.write( "sqrt(36*3x) - sqrt(9*3x) equals:
\n" ); document.write( "6*sqrt(3x) - 3*sqrt(3x) equals:
\n" ); document.write( "(6-3)*sqrt(3x) equals:
\n" ); document.write( "3*sqrt(3x)
\n" ); document.write( "confirm by assigning a value to x and solve in the original equation and in the final equation to see that both equations give you the same answer.
\n" ); document.write( "use your calculator.
\n" ); document.write( "for example:
\n" ); document.write( "let x = 32 (random number picked out of the air).
\n" ); document.write( "when x = 32, the original equation becomes:
\n" ); document.write( "sqrt(108*32) - sqrt(27*32) which becomes:
\n" ); document.write( "sqrt(3456) - sqrt(864) which becomes:
\n" ); document.write( "29.39387691
\n" ); document.write( "when x = 32, the final equation becomes:
\n" ); document.write( "3*sqrt(3*32) which becomes:
\n" ); document.write( "3*sqrt(96) which becomes:
\n" ); document.write( "3*9.797958971 which becomes:
\n" ); document.write( "29.39387691
\n" ); document.write( "the original equation and the final equation both get the same answer so it looks like the simplification went well.
\n" ); document.write( "the simplified expression is:
\n" ); document.write( "3*sqrt(3x)\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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