document.write( "Question 1107968: Rationalize the numerator. Assume that all variables represent positive real numbers.\r
\n" ); document.write( "\n" ); document.write( " \"+sqrt%28+x%2B5+%29+\" - \"sqrt%28+x+%29+\"
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\n" ); document.write( " 5\r
\n" ); document.write( "\n" ); document.write( "the \"__\" means that it is a fraction, 5 is the denominator!\r
\n" ); document.write( "\n" ); document.write( "thank you
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Algebra.Com's Answer #723012 by stanbon(75887)\"\" \"About 
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:
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\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)]
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\n" ); document.write( "= 5/[5sqrt(x+5)+5sqrt(x)]
\n" ); document.write( "------------------------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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