document.write( "Question 681800: I'm trying to prove that\r
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Algebra.Com's Answer #854023 by MathTherapy(10801)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "I'm trying to prove that\r\n" );
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document.write( "\"sqrt%284+-+2+%2A+sqrt%283%29%29+%2B+sqrt%2812+-+6+%2A+sqrt%283%29%29+=+2\"            \r\n" );
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document.write( "This author's proof is different from the one the other person who responded, provided. His method\r\n" );
document.write( "may not be what the person who needs help, is looking for. Then again, this hunch may be WRONG!\r\n" );
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document.write( "Having said that, let's focus on the L.H.S. because that's what's needed to be proven to equal 2.\r\n" );
document.write( "                        \"sqrt%284+-+2sqrt%283%29%29\" + \"sqrt%2812+-+6sqrt%283%29%29\"\r\n" );
document.write( "                        \"sqrt%284+-+2sqrt%283%29%29\" + \"sqrt%2812+-+2%283%29sqrt%283%29%29\" ---- Changing 6 to 2(3)\r\n" );
document.write( "                        \"sqrt%284+-+2sqrt%283%29%29\" + \"sqrt%2812+-+2sqrt%289%29sqrt%283%29%29\" ------- Changing 3 to \"sqrt%289%29\" \r\n" );
document.write( "               \"sqrt%283+%2B+1+-+2sqrt%283%29sqrt%281%29%29\" + \"sqrt%289+%2B+3+-+2sqrt%289%29sqrt%283%29%29\" ----- Changing 4 to 3 + 1, 3 to \"sqrt%283%29sqrt%281%29\", and 12 to 9 + 3                 \r\n" );
document.write( "\"sqrt%28%28sqrt%283%29%29%5E2+%2B+%28sqrt%281%29%29%5E2+-+2sqrt%283%29sqrt%281%29%29\" + \"sqrt%28%28sqrt%289%29%29%5E2+%2B+%28sqrt%283%29%29%5E2+-+2sqrt%289%29sqrt%283%29%29\" ------ Converting \r\n" );
document.write( "The above is in the form:\r\n" );
document.write( "                          \"%28a%5B1%5D+-+b%5B1%5D%29%5E2\"  + \"%28a%5B2%5D+-+b%5B2%5D%29%5E2\", with , and so:\r\n" );
document.write( "\"sqrt%28%28sqrt%283%29%29%5E2+%2B+%28sqrt%281%29%29%5E2+-+2sqrt%283%29sqrt%281%29%29\" + \"sqrt%28%28sqrt%289%29%29%5E2+%2B+%28sqrt%283%29%29%5E2+-+2sqrt%289%29sqrt%283%29%29\" then becomes:\r\n" );
document.write( "                   \"sqrt%28%28sqrt%283%29+-+sqrt%281%29%29%5E2%29\" +  \"sqrt%28%28sqrt%289%29+-+sqrt%283%29%29%5E2%29\"\r\n" );
document.write( "                         \"sqrt%283%29+-+sqrt%281%29\"    +    \"sqrt%289%29+-+sqrt%283%29\" ----- Cancelling SQUARE and SQUARE ROOT\r\n" );
document.write( "                             \"sqrt%283%29+-+1\" + \"3+-+sqrt%283%29+=+highlight%282%29%29\"QED!
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