document.write( "Question 178941This question is from textbook algebra structure and method
\n" ); document.write( ": can you please help me express in simplest radical form:((( (square root sign3 - square root sign5)(square root sign3 - square root sign5) ))) \n" ); document.write( "
Algebra.Com's Answer #133898 by jim_thompson5910(35256)\"\" \"About 
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\"%28sqrt%283%29-sqrt%285%29%29%28sqrt%283%29-sqrt%285%29%29\" Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( "Let \"a=sqrt%283%29\" and \"b=sqrt%285%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28a-b%29%28a-b%29\" Replace each \"sqrt%283%29\" with \"a\" and each \"sqrt%285%29\" with \"b\"\r
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\n" ); document.write( "\n" ); document.write( "\"a%5E2-ab-ab%2Bb%5E2\" FOIL\r
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\n" ); document.write( "\n" ); document.write( "\"a%5E2-2ab%2Bb%5E2\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"a%5E2-2ab%2Bb%5E2\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "\"%28sqrt%283%29%29%5E2-2%2Asqrt%283%29%2Asqrt%285%29%2B%28sqrt%285%29%29%5E2\" Plug in \"a=sqrt%283%29\" and \"b=sqrt%285%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28sqrt%283%29%29%5E2-2%2Asqrt%2815%29%2B%28sqrt%285%29%29%5E2\" Multiply and combine the radicals\r
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\n" ); document.write( "\n" ); document.write( "\"3-2%2Asqrt%2815%29%2B5\" Square \"sqrt%283%29\" to get 3 and square \"sqrt%285%29\" to get 5\r
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\n" ); document.write( "\n" ); document.write( "\"8-2%2Asqrt%2815%29\" Combine like 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 \"%28sqrt%283%29-sqrt%285%29%29%28sqrt%283%29-sqrt%285%29%29=8-2%2Asqrt%2815%29\"
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