document.write( "Question 309038: How would I simplify the product to this problem?\r
\n" ); document.write( "\n" ); document.write( "(√5 + 2)(√5 - 6)
\n" ); document.write( "

Algebra.Com's Answer #220959 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Let \"z=sqrt%285%29\" to get the expression \"%28z%2B2%29%28z-6%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28z%2B2%29%28z-6%29\" Start with the given expression.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"z%5E2-6z%2B2z-12\" FOIL\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"z%5E2-4z-12\" Combine like terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28sqrt%285%29%29%5E2-4%2Asqrt%285%29-12\" Plug in \"z=sqrt%285%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"5-4%2Asqrt%285%29-12\" Square \"sqrt%285%29\" to get \"5\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-7-4%2Asqrt%285%29\" Combine like terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So \"%28sqrt%285%29%2B2%29%28sqrt%285%29-6%29=-7-4%2Asqrt%285%29\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );