document.write( "Question 131897: Rationalize the denominator: \"%28sqrt%28x%29-sqrt%28y%29%29%2F%28sqrt%28x%29%2Bsqrt%28y%29%29\" \n" ); document.write( "
Algebra.Com's Answer #96300 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"%28sqrt%28x%29-sqrt%28y%29%29%2F%28sqrt%28x%29%2Bsqrt%28y%29%29\" Start with the given expression\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " Multiply by the fraction by \"%28sqrt%28x%29-sqrt%28y%29%29%2F%28sqrt%28x%29-sqrt%28y%29%29\". Note \"sqrt%28x%29-sqrt%28y%29\" is the conjugate of \"sqrt%28x%29%2Bsqrt%28y%29\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " Combine the fractions\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " Foil the denominator\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " Cancel like terms\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28%28sqrt%28x%29-sqrt%28y%29%29%28sqrt%28x%29-sqrt%28y%29%29%29%2F%28x-y%29\" Multiply\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28sqrt%28x%29sqrt%28x%29-2sqrt%28x%29sqrt%28y%29%2Bsqrt%28y%29sqrt%28y%29%29%2F%28x-y%29\" Foil the numerator\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28x-2sqrt%28x%29sqrt%28y%29%2By%29%2F%28x-y%29\" Multiply\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "\n" ); document.write( "So \"%28sqrt%28x%29-sqrt%28y%29%29%2F%28sqrt%28x%29%2Bsqrt%28y%29%29\" simplifies to \"%28x-2sqrt%28x%29sqrt%28y%29%2By%29%2F%28x-y%29\" \n" ); document.write( "
\n" );