document.write( "Question 988996: √(7-4√3) + √(7+4√3) \n" ); document.write( "
Algebra.Com's Answer #853960 by MathTherapy(10801)\"\" \"About 
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\r\n" );
document.write( "√(7-4√3) + √(7+4√3)\r\n" );
document.write( "*******************\r\n" );
document.write( "                         \"sqrt%287+-+4sqrt%283%29%29+%2B+sqrt%287+%2B+4sqrt%283%29%29\"\r\n" );
document.write( "                 \"sqrt%287+-+2%282%29sqrt%283%29%29+%2B+sqrt%287+%2B+2%282%29sqrt%283%29%29\"\r\n" );
document.write( "                     \"sqrt%287+-+2sqrt%284%29sqrt%283%29%29+%2B+sqrt%287+%2B+2sqrt%284%29sqrt%283%29%29\"\r\n" );
document.write( "                 ----- Changing 7 to 4 + 3                 \r\n" );
document.write( "\"sqrt%28%28sqrt%284%29%29%5E2+%2B+%28sqrt%283%29%29%5E2+-+2sqrt%284%29sqrt%283%29%29\" + \"sqrt%28%28sqrt%284%29%29%5E2+%2B+%28sqrt%283%29%29%5E2+%2B+2sqrt%284%29sqrt%283%29%29\" ------ Converting \r\n" );
document.write( "The above is in the form:\r\n" );
document.write( "                          \"%28a+-+b%29%5E2\"  + \"%28a+%2B+b%29%5E2\", with \"system%28matrix%282%2C3%2C+a%2C+being%2C+sqrt%284%29%2C+b%2C+being%2C+sqrt%283%29%29%29\", and so:\r\n" );
document.write( "\"sqrt%28%28sqrt%284%29%29%5E2+%2B+%28sqrt%283%29%29%5E2+-+2sqrt%284%29sqrt%283%29%29\" + \"sqrt%28%28sqrt%284%29%29%5E2+%2B+%28sqrt%283%29%29%5E2+%2B+2sqrt%284%29sqrt%283%29%29\" then becomes:\r\n" );
document.write( "                   \"sqrt%28%28sqrt%284%29+-+sqrt%283%29%29%5E2%29\" +  \"sqrt%28%28sqrt%284%29+%2B+sqrt%283%29%29%5E2%29\"\r\n" );
document.write( "                         \"sqrt%284%29+-+sqrt%283%29\"    +    \"sqrt%284%29+%2B+sqrt%283%29\" ----- Cancelling SQUARE and SQUARE ROOT\r\n" );
document.write( "                               \"2+-+sqrt%283%29+%2B+2+%2B+sqrt%283%29+=+highlight%284%29%29\"
\n" ); document.write( "
\n" );