document.write( "Question 196224: Can someone please help me Simplify or reduce these Radicals \r
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Algebra.Com's Answer #147084 by Edwin McCravy(20086)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Note: Josmiceli's solution is not acceptable for this is not supposed to be done by fractional exponents!
\n" ); document.write( "Edwin's solution:
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document.write( "Break 24 down into prime factors:\r\n" );
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document.write( "\"24+=+2%2A2%2A2%2A3\"\r\n" );
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document.write( "Break \"x%5E5\" down into prime factors:\r\n" );
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document.write( "\"x%5E5+=+x%2Ax%2Ax%2Ax%2Ax\"\r\n" );
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document.write( "Break \"y%5E3\" down into prime factors:\r\n" );
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document.write( "\"y%5E3=y%2Ay%2Ay\"\r\n" );
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document.write( "Substituting:\r\n" );
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document.write( "\"root%283%2C24x%5E5y%5E3%29\"\r\n" );
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document.write( "\"root%283%2C2%2A2%2A2%2A3%2Ax%2Ax%2Ax%2Ax%2Ax%2Ay%2Ay%2Ay%29\"\r\n" );
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document.write( "Since the index is 3, use parentheses to\r\n" );
document.write( "group as many groups of three like factors\r\n" );
document.write( "as possible under the radical:\r\n" );
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document.write( "\"root%283%2C%282%2A2%2A2%29%2A3%2A%28x%2Ax%2Ax%29%2Ax%2Ax%2A%28y%2Ay%2Ay%29%29\"\r\n" );
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document.write( "Write each group of three as a cube:\r\n" );
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document.write( "\"root%283%2C%282%5E3%29%2A3%2A%28x%5E3%29%2Ax%2Ax%2A%28y%5E3%29%29\"\r\n" );
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document.write( "Take the cube roots of those cubes outside\r\n" );
document.write( "in front of the radical.  Leave the factors\r\n" );
document.write( "that did not group under the radical:\r\n" );
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document.write( "\"2%2Ax%2Ay%2Aroot%283%2C3%2Ax%2Ax%29\"\r\n" );
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document.write( "Write the \"x%2Ax\" as \"x%5E2\" under the\r\n" );
document.write( "radical:\r\n" );
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document.write( "\"2%2Ax%2Ay%2Aroot%283%2C3%2Ax%5E2%29\"\r\n" );
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document.write( "\"2xy%2Aroot%283%2C3x%5E2%29\"\r\n" );
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document.write( "Edwin
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