document.write( "Question 190603: Can you please help me solve this problem? (the square root of 18m^3)-(the square root of 72m^3) \n" ); document.write( "
Algebra.Com's Answer #143065 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"sqrt%2818m%5E3%29-sqrt%2872m%5E3%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( "\"sqrt%289%2A2%2Am%5E2%2Am%29-sqrt%2836%2A2%2Am%5E2%2Am%29\" Factor \r
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\n" ); document.write( "\n" ); document.write( "Note: \"18m%5E3\" factors to \"9%2A2%2Am%5E2%2Am\" and \"72m%5E3\" factors to \"36%2A2%2Am%5E2%2Am\"\r
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\n" ); document.write( "\n" ); document.write( " Break up the square roots.\r
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\n" ); document.write( "\n" ); document.write( "\"3%2Asqrt%282%29%2Am%2Asqrt%28m%29-6%2Asqrt%282%29%2Am%2Asqrt%28m%29\" Take the square root of 9, 36, and \"m%5E2\" to get 3, 6, and \"m\" respectively\r
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\n" ); document.write( "\n" ); document.write( "\"3m%2Asqrt%282m%29-6m%2Asqrt%282m%29\" Multiply and recombine the roots.\r
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\n" ); document.write( "\n" ); document.write( "\"%283m-6m%29%2Asqrt%282m%29\" Factor out the GCF \"sqrt%282m%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"-3m%2Asqrt%282m%29\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So \"sqrt%2818m%5E3%29-sqrt%2872m%5E3%29=-3m%2Asqrt%282m%29\" where \"m%3E=0\"
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