document.write( "Question 599069: 200m4n
\n" ); document.write( "This is a radical expression the four is supposed to be at the top of the m
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Algebra.Com's Answer #378852 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28200%2Am%5E4%2An%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28100%2A2%2Am%5E4%2An%29\" Factor \"200\" into \"100%2A2\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28100%2A2%2Am%5E2%2Am%5E2%2An%29\" Factor \"m%5E4\" into \"m%5E2%2Am%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%28100%29%2Asqrt%282%29%2Asqrt%28m%5E2%29%2Asqrt%28m%5E2%29%2Asqrt%28n%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( "\"10%2Asqrt%282%29%2Asqrt%28m%5E2%29%2Asqrt%28m%5E2%29%2Asqrt%28n%29\" Take the square root of \"100\" to get \"10\".\r
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\n" ); document.write( "\n" ); document.write( "\"10%2Asqrt%282%29%2Am%2Am%2Asqrt%28n%29\" Take the square root of \"m%5E2\" to get \"m\".\r
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\n" ); document.write( "\n" ); document.write( "\"10m%5E2%2Asqrt%282n%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%28200%2Am%5E4%2An%29\" simplifies to \"10m%5E2%2Asqrt%282n%29\"\r
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\n" ); document.write( "\n" ); document.write( "In other words, \"sqrt%28200%2Am%5E4%2An%29=10m%5E2%2Asqrt%282n%29\" where every variable is non-negative.\r
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