document.write( "Question 1007085: Is the product if 2 complex conjugates always a real number? Explain by using a specific example, and a general example (x's and y's). \n" ); document.write( "

Algebra.Com's Answer #623082 by ikleyn(52794) $\"\"$ $\"About$

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document.write( "1) Is the product of 2 complex conjugates always a real number? \r\n" );
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document.write( "   Yes, it is.\r\n" );
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document.write( "2) Explain by using a specific example\r\n" );
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document.write( "   Specific example: \r\n" );
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document.write( "                     Let z = 3 + 4i. \r\n" );
document.write( "                     Then  = 3 - 4i.\r\n" );
document.write( "                     (3+4i)*(3-4i) =  =  = 9 - 16*(-1) = 9 + 16 = 25.\r\n" );
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document.write( "3) Explain by using a general example (x's and y's):\r\n" );
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document.write( "                     Let z = x + yi. \r\n" );
document.write( "                     Then  = x - yi.\r\n" );
document.write( "                     (x+yi)*(x-yi) =  =  =  = .\r\n" );
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