document.write( "Question 1124474: How would you simplify the equation:\r
\n" ); document.write( "\n" ); document.write( "Sqrt(17-12sqrt2) in the form\r
\n" ); document.write( "\n" ); document.write( "(a+bsqrt2)\r
\n" ); document.write( "\n" ); document.write( "Thank you.
\n" ); document.write( "

Algebra.Com's Answer #854014 by MathTherapy(10801)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "How would you simplify the equation:\r\n" );
document.write( "Sqrt(17-12sqrt2) in the form\r\n" );
document.write( "(a+bsqrt2)\r\n" );
document.write( "Thank you. \r\n" );
document.write( "**********************************\r\n" );
document.write( "Not an equation, but an expression, instead!!\r\n" );
document.write( "                           \"sqrt%2817+-+12sqrt%282%29%29\"\r\n" );
document.write( "                    \"sqrt%2817+-+2%286%29sqrt%282%29%29\" ----- Changing 12 to 2*6\r\n" );
document.write( "                     \"sqrt%2817+-+2sqrt%2836%29sqrt%282%29%29\" ------ Converting 6 to \"sqrt%2836%29\"\r\n" );
document.write( "                         \"sqrt%2817+-+2sqrt%2872%29%29\" ------ Applying \"sqrt%28m%29sqrt%28n%29+=+sqrt%28mn%29\"\r\n" );
document.write( "                  \"sqrt%289+%2B+8+-+2%289%2A8%29%29\" ----- Changing 17 to 9 + 8, and 72 (in \"sqrt%2872%29\") to 9*8\r\n" );
document.write( "                    \"sqrt%289+%2B+8+-+2sqrt%289%29sqrt%288%29%29\" ------ Applying \"sqrt%28m%2An%29+=+sqrt%28m%29sqrt%28n%29\"\r\n" );
document.write( "  \"sqrt%28%28sqrt%289%29%29%5E2+%2B+%28sqrt%288%29%29%5E2+-+2sqrt%289%29sqrt%288%29%29\" ------ Converting \r\n" );
document.write( "The above is in the form: \"%28a+-+b%29%5E2\", with \"system%28matrix%282%2C3%2C+a%2C+being%2C+sqrt%289%29%2C+b%2C+being%2C+sqrt%288%29%29%29\", and so:\r\n" );
document.write( "\"sqrt%28%28sqrt%289%29%29%5E2+%2B+%28sqrt%288%29%29%5E2+-+2sqrt%289%29sqrt%288%29%29\" then becomes: \"sqrt%28%28sqrt%289%29+-+sqrt%288%29%29%5E2%29\" \r\n" );
document.write( "                                                                                \"sqrt%289%29+-+sqrt%288%29\" ----- Cancelling SQUARE and SQUARE ROOT\r\n" );
document.write( "                                                                                \"highlight%283+-+2sqrt%282%29%29\"
\n" ); document.write( "
\n" );