document.write( "Question 153907: 1 minus square root of 7 on the numerator divided by 3 plus square root of 7 on the demoninator. Can you please go through the steps to rationalize the denominator in the problem. Thank-you very much! \n" ); document.write( "

Algebra.Com's Answer #113280 by nerdybill(7384) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+%281-sqrt%287%29%29%2F%283%2Bsqrt%287%29%29+\"$
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\n" ); document.write( "The strategy is to get rid of all square root symbols in the denominator. Do this by first multiplying by: $\"+%283-sqrt%287%29%29%2F%283-sqrt%287%29%29+\"$
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\n" ); document.write( "So, we have:
\n" ); document.write( " $\"+%281-sqrt%287%29%29%2F%283%2Bsqrt%287%29%29+%2A+%283-sqrt%287%29%29%2F%283-sqrt%287%29%29+\"$
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\n" ); document.write( "Performing \"FOIL\" on the denominator:
\n" ); document.write( " $\"+%28%281-sqrt%287%29%29%2A%283-sqrt%287%29%29%29%2F%289-3sqrt%287%29%2B3sqrt%287%29-7%29+\"$
\n" ); document.write( "Reducing the denominator:
\n" ); document.write( " $\"+%28%281-sqrt%287%29%29%2A%283-sqrt%287%29%29%29%2F%289-7%29+\"$
\n" ); document.write( " $\"+%28%281-sqrt%287%29%29%2A%283-sqrt%287%29%29%29%2F%282%29+\"$
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\n" ); document.write( "Performing \"FOIL\" on the numerator:
\n" ); document.write( " $\"+%283-sqrt%287%29-3sqrt%287%29%2B7%29%2F%282%29+\"$
\n" ); document.write( "Reducing the numerator:
\n" ); document.write( " $\"+%2810-4sqrt%287%29%29%2F%282%29+\"$
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\n" ); document.write( "Finally, we can reduce it to (by dividing each term in the numerator by 2):
\n" ); document.write( " $\"+5-2sqrt%287%29+\"$ \r
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