document.write( "Question 309962: √6/1-√3 \n" ); document.write( "
Algebra.Com's Answer #221690 by jim_thompson5910(35256)\"\" \"About 
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\"sqrt%286%29%2F%281-sqrt%283%29%29\" Start with the given expression.\r
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\n" ); document.write( "\n" ); document.write( " Multiply both the numerator and the denominator by \"1%2Bsqrt%283%29\"\r
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\n" ); document.write( "\n" ); document.write( " \"%28sqrt%286%29%2A%281%2Bsqrt%283%29%29%29%2F%281-3%29\" FOIL the denominator\r
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\n" ); document.write( "\n" ); document.write( " \"%28sqrt%286%29%2A%281%2Bsqrt%283%29%29%29%2F%28-2%29\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( " \"%28sqrt%286%29%2Bsqrt%286%29%2Asqrt%283%29%29%2F%28-2%29\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( " \"%28sqrt%286%29%2Bsqrt%286%2A3%29%29%2F%28-2%29\" Combine the last two roots.\r
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\n" ); document.write( "\n" ); document.write( " \"%28sqrt%286%29%2Bsqrt%2818%29%29%2F%28-2%29\" Multiply\r
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\n" ); document.write( "\n" ); document.write( " \"%28sqrt%286%29%2Bsqrt%289%2A2%29%29%2F%28-2%29\" Rewrite 18 as 9*2\r
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\n" ); document.write( "\n" ); document.write( " \"%28sqrt%286%29%2Bsqrt%289%29%2Asqrt%282%29%29%2F%28-2%29\" Break up the second root.\r
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\n" ); document.write( "\n" ); document.write( " \"%28sqrt%286%29%2B3%2Asqrt%282%29%29%2F%28-2%29\" Take the square root of 9 to get 3.\r
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\n" ); document.write( "\n" ); document.write( " \"-%28sqrt%286%29%2B3%2Asqrt%282%29%29%2F%282%29\" Factor out a negative 1.\r
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\n" ); document.write( "\n" ); document.write( " \"%28-sqrt%286%29-3%2Asqrt%282%29%29%2F%282%29\" Distribute that negative 1 through the numerator.\r
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\n" ); document.write( "\n" ); document.write( "So \"sqrt%286%29%2F%281-sqrt%283%29%29=%28-sqrt%286%29-3%2Asqrt%282%29%29%2F%282%29\"\r
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