document.write( "Question 554944: sqrt108x ^4 \n" ); document.write( "
Algebra.Com's Answer #361564 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28108%2Ax%5E4%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%2836%2A3%2Ax%5E4%29\" Factor \"108\" into \"36%2A3\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%2836%2A3%2Ax%5E2%2Ax%5E2%29\" Factor \"x%5E4\" into \"x%5E2%2Ax%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%2836%29%2Asqrt%283%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29\" Break up the square root using the identity \"sqrt%28A%2AB%29=sqrt%28A%29%2Asqrt%28B%29\".\r
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\n" ); document.write( "\n" ); document.write( "\"6%2Asqrt%283%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29\" Take the square root of \"36\" to get \"6\".\r
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\n" ); document.write( "\n" ); document.write( "\"6%2Asqrt%283%29%2Ax%2Ax\" Take the square root of \"x%5E2\" to get \"x\".\r
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\n" ); document.write( "\n" ); document.write( "\"6x%5E2%2Asqrt%283%29\" Rearrange and multiply the terms.\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
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\n" ); document.write( "\n" ); document.write( "So \"sqrt%28108%2Ax%5E4%29\" simplifies to \"6x%5E2%2Asqrt%283%29\"\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"sqrt%28108%2Ax%5E4%29=6x%5E2%2Asqrt%283%29\" where x is non-negative.\r
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\n" ); document.write( "\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
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\n" ); document.write( "\n" ); document.write( "Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you\r
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\n" ); document.write( "\n" ); document.write( "Jim
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