document.write( "Question 393898: The problem is:\r
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\n" ); document.write( "\n" ); document.write( "i tried rationalizing the first part of the problem by multiplying it by the conjugate and then i distributed the negative sign and then added but none of the terms were like...\r
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Algebra.Com's Answer #279485 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"+%28x%2F%284%2B+sqrt%282%29%29%29+-+%28-1%2B+3sqrt%282%29%29+\"\r\n" );
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document.write( "Write the second term over 1\r\n" );
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document.write( "\"+%28x%2F%284%2B+sqrt%282%29%29%29+-+%28%28-1%2B+3sqrt%282%29%29%2F1%29+\"\r\n" );
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document.write( "Get an LCD of \"4%2Bsqrt%282%29\"\r\n" );
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document.write( "\"+%28x%2F%284%2B+sqrt%282%29%29%29+-+%28%282%2B11sqrt%282%29%29%2F%284%2Bsqrt%282%29%29%29+\"\r\n" );
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document.write( "\"+%28x-%282%2B11sqrt%282%29%29%29%2F%284%2B+sqrt%282%29%29+\"\r\n" );
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document.write( "\"+%28x-2-11sqrt%282%29%29%2F%284%2B+sqrt%282%29%29+\"\r\n" );
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document.write( "Now rationalize the denominator:\r\n" );
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document.write( "Group the \"%28x-2%29\" so you can use FOIL on top as well as the bottom:\r\n" );
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document.write( "\"%284x+-+8+-+x%2Asqrt%282%29+%2B+2sqrt%282%29+-+44sqrt%282%29+%2B+22%29%2F%2816-2%29\"\r\n" );
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document.write( "\"%284x-x%2Asqrt%282%29%2B14-42sqrt%282%29%29%2F14\"\r\n" );
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document.write( "You can leave it like the above or maybe\r\n" );
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document.write( "\"%284x%2B14-x%2Asqrt%282%29-42sqrt%282%29%29%2F14\"\r\n" );
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document.write( "and/or then maybe minimize the number of square roots \r\n" );
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document.write( "Edwin
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