document.write( "Question 1107968: Rationalize the numerator. Assume that all variables represent positive real numbers.\r
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document.write( " 5\r
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document.write( "the \"__\" means that it is a fraction, 5 is the denominator!\r
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document.write( "thank you \n" );
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Algebra.Com's Answer #723012 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Rationalize the numerator. Assume that all variables represent positive real numbers.\r \n" ); document.write( "\n" ); document.write( " [sqrt( x+5 ) - sqrt( x )]/5 \n" ); document.write( "---------- \n" ); document.write( "Multiply numerator and denominator by sqrt(x+5)+sqrt(x) to get: \n" ); document.write( "------ \n" ); document.write( "(sqrt(x+5))^2 - (sqrt(x))^2]/[5sqrt(x+5)+5sqrt(x)] \n" ); document.write( "----- \n" ); document.write( "= [x+5-x]/[5sqrt(x+5)+5sqrt(x)] \n" ); document.write( "----- \n" ); document.write( "= 5/[5sqrt(x+5)+5sqrt(x)] \n" ); document.write( "------------------------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "-------------\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |