document.write( "Question 371465: Multiply. (√11+3√3)(√11-3√3) \n" ); document.write( "

Algebra.Com's Answer #264972 by jsmallt9(3758) $\"\"$ $\"About$

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$\"%28sqrt%2811%29%2B3sqrt%283%29%29%28sqrt%2811%29-3sqrt%283%29%29\"$
\n" ); document.write( "The slow way to multiply this is with FOIL. The fast way is to recognize that these two factors fit the pattern $\"%28a%2Bb%29%28a-b%29+=+a%5E2+-+b%5E2\"$ with \"a\" being $\"sqrt%2811%29\"$ and \"b\" being $\"3sqrt%283%29\"$ . Using this pattern then we know that the product will be $\"a%5E2-b%5E2\"$ :
\n" ); document.write( " $\"%28sqrt%2811%29%29%5E2+-+%283sqrt%283%29%29%5E2\"$
\n" ); document.write( "which simplifies as follows:
\n" ); document.write( "11 - 27
\n" ); document.write( "-16 \n" ); document.write( "

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