document.write( "Question 85653: What is \r
\n" ); document.write( "\n" ); document.write( " $\"%285-sqrt%283%29%29%2F%283sqrt%285%29%2B4sqrt%283%29%29\"$ ? \n" ); document.write( "

Algebra.Com's Answer #61857 by scianci(186) $\"\"$ $\"About$

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Multiply the numerator and denominator by the conjugate of $\"3sqrt%285%29+%2B+4sqrt%283%29\"$ , which is $\"3sqrt%285%29+-+4sqrt%283%29\"$ :\r
\n" ); document.write( "\n" ); document.write( " $\"%28sqrt%285%29+-+sqrt%283%29%29%2F%283sqrt%285%29+%2B+4sqrt%283%29%29\"$ * $\"%283sqrt%284%29+-+4sqrt%283%29%29%2F%283sqrt%285%29+-+4sqrt%283%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Now, do FOIL for the tops and the bottoms become the difference of the squares:\r
\n" ); document.write( "\n" ); document.write( " $\"%283sqrt%2820%29+-+4sqrt%2815%29+-+3sqrt%2812%29+-+4%283%29%29%2F%289%285%29+-+16%283%29%29\"$ =\r
\n" ); document.write( "\n" ); document.write( " $\"%286sqrt%285%29+-+4sqrt%2815%29+-+6sqrt%283%29+-+12%29%2F%28-3%29\"$ =\r
\n" ); document.write( "\n" ); document.write( " $\"%28-6sqrt%285%29+%2B+4sqrt%2815%29+%2B+6sqrt%283%29+%2B+12%29%2F3\"$ \n" ); document.write( "

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