document.write( "Question 1209233: Simplify 1/(sqrt(2) + 2 + sqrt(3)) + 1/(sqrt(2) - 2 - sqrt(3)). \n" ); document.write( "
Algebra.Com's Answer #847887 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"1%2F%28sqrt%282%29+%2B+2+%2B+sqrt%283%29%29+%2B+1%2F%28sqrt%282%29+-+2+-+sqrt%283%29%29\"\r\n" );
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document.write( "We combine the fractions over the LCD, using \"A%2FB%2BC%2FD=%28AD%2BBC%29%2F%28BD%29\"\r\n" );
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document.write( "Combine the terms on top, and FOIL out the bottom:\r\n" );
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document.write( "\"2sqrt%282%29%5E%22%22%2F%28-5-4sqrt%283%29%29\"\r\n" );
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document.write( "Rationalize the denominator:\r\n" );
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document.write( "\"2sqrt%282%29%5E%22%22%2F%28-5%5E%22%22-4sqrt%283%29%29\"\"%22%22%2A%22%22\"\"%28-5%2B4sqrt%283%29%5E%22%22%29%2F%28-5%5E%22%22%2B4sqrt%283%29%29\"\r\n" );
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document.write( "\"%28-10sqrt%282%29%2B8sqrt%286%29%29%2F%2825-16%2A3%29\"\r\n" );
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document.write( "\"%28-10sqrt%282%29%2B8sqrt%286%29%29%2F%2825-48%29\"\r\n" );
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document.write( "\"%28-10sqrt%282%29%2B8sqrt%286%29%29%2F%28-23%29\"\r\n" );
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document.write( "Multiply top and bottom by -1\r\n" );
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document.write( "\"%2810sqrt%282%29-8sqrt%286%29%29%2F%2823%29\"\r\n" );
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document.write( "Edwin
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