document.write( "Question 108004: rationalize the denominators: Can you explain how to do this? What steps to follow?\r
\n" ); document.write( "\n" ); document.write( "5 sqrt 2 - sq rt 5 (numerator)
\n" ); document.write( "5 sqrt 2 + sq rt 5 (denominator) \n" ); document.write( "

Algebra.Com's Answer #78696 by stanbon(75887) $\"\"$ $\"About$

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5 sqrt 2 - sq rt 5 (numerator)
\n" ); document.write( "5 sqrt 2 + sq rt 5 (denominator)
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\n" ); document.write( "Multiply numerator and denominator by (5sqrt2 - sqrt5) to get:\r
\n" ); document.write( "\n" ); document.write( "Numerator: [5sqrt2 - sqrt5]^2
\n" ); document.write( "Denominator: (25*2)-5 \r
\n" ); document.write( "\n" ); document.write( "---------------------------
\n" ); document.write( "Numerator: 25*2 +5 - 10sqrt(10)
\n" ); document.write( "Denominator: 45
\n" ); document.write( "-----------
\n" ); document.write( "Numerator: 55 - 10sqrt(10)
\n" ); document.write( "Denominator: 45\r
\n" ); document.write( "\n" ); document.write( "---------------------
\n" ); document.write( "Reduce to get:\r
\n" ); document.write( "\n" ); document.write( " = [11-2sqrt(10)]/9\r
\n" ); document.write( "\n" ); document.write( "=================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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