document.write( "Question 1108124: what is the square root of -6 multiplied by the square root of -6 \n" ); document.write( "

Algebra.Com's Answer #723157 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "The other tutor's answer is not exactly correct.\r
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document.write( "In complex domain,   =   has two (TWO) values: +6  and  -6.\r\n" );
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document.write( "    Why  ?  - can you ask me.\r\n" );
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document.write( "              Isn't it the product of any two complex numbers is defined by an UNIQUE way ?\r\n" );
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document.write( "    Yes, it is true, the product of two complex numbers is defined by an UNIQUE way.  There is no doubt.\r\n" );
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document.write( "    But  in complex domain,   has itself  TWO values:  6i  and  -6i.\r\n" );
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document.write( "    They are TWO absolutely symmetric complex instances with equal rights to exist and with equal rights to represent  .\r\n" );
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document.write( "    If you multiply    by  ,  you  will get  -6.\r\n" );
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document.write( "    If you multiply    by  ,  you  will get  -6, too.\r\n" );
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document.write( "    But if you multiply    by  ,  you  will get  6. \r\n" );
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document.write( "    Symmetrically, if you multiply    by  ,  you  will get  6, too. \r\n" );
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document.write( "Therefore, there is NO CONTRADICTION in getting two values, +6  and  -6,  of  the product  .\r\n" );
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document.write( "If you want to avoid getting of two values when you multiply    by  ,  you MUST to point EXACTLY, \r\n" );
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document.write( "which of the two values of   you mean  as one of the two possible instances for each multiplier.\r\n" );
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