document.write( "Question 1139332: Given that x-y= 8•sqrt(2) and xy= 137, where x and y are both positive, find the value of x+y without finding x or y \n" ); document.write( "

Algebra.Com's Answer #759799 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "The idea is to express  (x+y)^2  via given data, and then take square root of this expression (of this number).\r\n" );
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document.write( "It will be exactly (x+y).\r\n" );
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document.write( "So,\r\n" );
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document.write( " =  + 4xy =  + 4*137 = 64*2 + 4*137 = 676.\r\n" );
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document.write( "Therefore, (x+y) =  = 26.\r\n" );
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document.write( "ANSWER.  x + y = 26.\r\n" );
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