document.write( "Question 370508: Please help me rationalize denominator and numerator\r
\n" ); document.write( "\n" ); document.write( "\"+%28sqrt%283%29%2Bsqrt%284%29%29%2F%28sqrt%282%29-sqrt%283%29%29+\"\r
\n" ); document.write( "\n" ); document.write( "I have been working on several of these and I have noticed that some of them are distributed while some are just left in the form of \"+%28x%28sqrt%28y%29-sqrt%28z%29%29%29%2F%28y-z%29+\". How do I know what to distribute on what problems?
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Algebra.Com's Answer #264088 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
rationalize denominator and numerator\r
\n" ); document.write( "\n" ); document.write( " (sqrt(3)+sqrt(4))/(sqrt(2)-sqrt(3))
\n" ); document.write( "-------
\n" ); document.write( "Multiply numerator and denominator by sqrt(2)+sqrt(3) to get:
\n" ); document.write( "----
\n" ); document.write( "= [(sqrt(3)+sqrt(4))(sqrt(2)+sqrt(3))]/[2-3]
\n" ); document.write( "----
\n" ); document.write( "= [sqrt(6) +3 + sqrt(8)+sqrt(12)]/-1
\n" ); document.write( "----
\n" ); document.write( "= -[3 + 2sqrt(2) + 2sqrt(3) + sqrt(6)]
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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