document.write( "Question 126395: Simplify\r
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Algebra.Com's Answer #92599 by jim_thompson5910(35256) $\"\"$ $\"About$

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$\"root%284%2C64x%5E8y%5E10%29\"$ Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( " $\"root%284%2C64%29%2Aroot%284%2Cx%5E8%29%2Aroot%284%2Cy%5E10%29\"$ Break up the root\r
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\n" ); document.write( "\n" ); document.write( " $\"2%2Aroot%284%2C4%29%2Aroot%284%2Cx%5E8%29%2Aroot%284%2Cy%5E10%29\"$ Simplify $\"root%284%2C64%29\"$ to get $\"2%2Aroot%284%2C4%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"2%2Aroot%284%2C4%29%2Ax%5E2%2Aroot%284%2Cy%5E10%29\"$ Simplify $\"root%284%2Cx%5E8%29\"$ to get $\"x%5E2\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"2%2Aroot%284%2C4%29%2Ax%5E2%2Ay%5E2%2Aroot%284%2Cy%5E2%29\"$ Simplify $\"root%284%2Cy%5E10%29\"$ to get $\"y%5E2%2Aroot%284%2Cy%5E2%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"2x%5E2y%5E2%2Aroot%284%2C4y%5E2%29\"$ Combine the roots and multiply\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So $\"root%284%2C64x%5E8y%5E10%29\"$ simplifies to $\"2x%5E2y%5E2%2Aroot%284%2C4y%5E2%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "In other words, $\"root%284%2C64x%5E8y%5E10%29=2x%5E2y%5E2%2Aroot%284%2C4y%5E2%29\"$ \n" ); document.write( "

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