document.write( "Question 183015This question is from textbook saxon algebra 2
\n" ); document.write( ": Simplify.
\n" ); document.write( "3 over square root 7 - square root 2
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #137389 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"3%2F%28sqrt%287%29-sqrt%282%29%29\"$ Start with the given expression.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

Multiply both the numerator and denominator by $\"sqrt%287%29%2Bsqrt%282%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"%283%28sqrt%287%29%2Bsqrt%282%29%29%29%2F%28%28sqrt%287%29%29%5E2-%28sqrt%282%29%29%5E2%29\"$ FOIL. Note: the denominator is a difference of squares.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"%283%28sqrt%287%29%2Bsqrt%282%29%29%29%2F%287-2%29\"$ Square $\"sqrt%287%29\"$ to get 7. Square $\"sqrt%282%29\"$ to get 2\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"%283%28sqrt%287%29%2Bsqrt%282%29%29%29%2F%285%29\"$ Combine like terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"%283%2Asqrt%287%29%2B3%2Asqrt%282%29%29%2F%285%29\"$ Distribute\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So $\"3%2F%28sqrt%287%29-sqrt%282%29%29=%283%2Asqrt%287%29%2B3%2Asqrt%282%29%29%2F%285%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );