document.write( "Question 117095: numerator 4
\n" ); document.write( "denominator -2+sqrt7 \n" ); document.write( "

Algebra.Com's Answer #86207 by ptaylor(2198) $\"\"$ $\"About$

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numerator 4
\n" ); document.write( "denominator -2+sqrt7\r
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\n" ); document.write( "\n" ); document.write( " $\"4%2F%28-2%2Bsqrt%287%29%29\"$ multiply numerator and denominator by $\"-2-sqrt%287%29\"$ --the conjugate of $\"-2%2Bsqrt%287%29\"$ . This will get rid of the radical in the denominator.\r
\n" ); document.write( "\n" ); document.write( " $\"4%28-2-sqrt%287%29%29%2F%28-2%2Bsqrt%287%29%29%28-2-sqrt%287%29%29\"$ and this equals\r
\n" ); document.write( "\n" ); document.write( " $\"4%28-2-sqrt%287%29%29%2F%284-2sqrt%287%29%2B2sqrt%287%29-7%29\"$ which equals
\n" ); document.write( " $\"-4%282%2Bsqrt%287%29%29%2F-3\"$ or
\n" ); document.write( " $\"%284%2F3%29%282%2Bsqrt%287%29%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( "

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