document.write( "Question 309949: How would I simplify this problem to get the product?\r
\n" ); document.write( "\n" ); document.write( "(3sqrt3 - sqrt2)( sqrt2 + sqrt3)
\n" ); document.write( "

Algebra.Com's Answer #221691 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"%283%2Asqrt%283%29+-+sqrt%282%29%29%28+sqrt%282%29+%2B+sqrt%283%29%29\" Start with the given expression.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " FOIL\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3%2Asqrt%283%2A2%29+%2B+3%2Asqrt%283%2A3%29-+sqrt%282%2A2%29-+sqrt%282%2A3%29\" Combine the roots.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3%2Asqrt%286%29+%2B+3%2Asqrt%289%29-+sqrt%284%29-+sqrt%286%29\" Multiply\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3%2Asqrt%286%29+%2B+3%2A3-+2-+sqrt%286%29\" Take the square root of 9 and 4 to get 3 and 2 respectively.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3%2Asqrt%286%29+%2B+9-+2-+sqrt%286%29\" Multiply\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"7%2B2%2Asqrt%286%29\" Combine like terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So \"%283%2Asqrt%283%29+-+sqrt%282%29%29%28+sqrt%282%29+%2B+sqrt%283%29%29=7%2B2%2Asqrt%286%29\"
\n" ); document.write( "
\n" );