document.write( "Question 167192: (√2 + √-2)^2
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Algebra.Com's Answer #123140 by Edwin McCravy(20065) $\"\"$ $\"About$

You can put this solution on YOUR website!
(√2 + √-2)^2
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document.write( "That's:\r\n" );
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document.write( "I suspect that you didn't copy something right.\r\n" );
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document.write( "Why? Because since you are in advanced enough math\r\n" );
document.write( "to be studying about imaginary numbers, I doubt that\r\n" );
document.write( "a book or worksheet would make you do an unnecessary \r\n" );
document.write( "elementary operation like squaring 2, that is, \r\n" );
document.write( "multiplying 2 by itself and getting 4. That's 3rd \r\n" );
document.write( "grade math.  The authors wouldn't be putting that \r\n" );
document.write( "elementary an operation into a problem. They'd just \r\n" );
document.write( "have given you this:\r\n" );
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document.write( "The only purpose the author could have had to put \r\n" );
document.write( "instead of  was to test you to see if you knew the \r\n" );
document.write( "3rd grade math question \"What is \".  But if you \r\n" );
document.write( "didn't know 3rd grade math then you couldn't possibly be \r\n" );
document.write( "where you are in math, all the way to studying imaginary numbers.\r\n" );
document.write( "So no teacher would need to test you on that.\r\n" );
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document.write( "Anyway, if this is the problem:\r\n" );
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document.write( " \r\n" );
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document.write( "Then we replace the  with .\r\n" );
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document.write( "  \r\n" );
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document.write( "Now instead of dividing by , let's change\r\n" );
document.write( "that to multiplying by  which is the same\r\n" );
document.write( "thing:\r\n" );
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document.write( "Now to the side:\r\n" );
document.write( "Write the term  as .\r\n" );
document.write( "Then write that as  and\r\n" );
document.write( "finally write that as .\r\n" );
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document.write( "So we replace  by \r\n" );
document.write( "in:\r\n" );
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document.write( " \r\n" );
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document.write( "and get:\r\n" );
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document.write( "Now replace  by \r\n" );
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document.write( "Now out of each of those parentheses we can factor out \r\n" );
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document.write( "Repositioning the factors:\r\n" );
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document.write( "Replace  by \r\n" );
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document.write( "Now we use FOIL on \r\n" );
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document.write( "Combining the two middle terms:\r\n" );
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document.write( "Replacing  by \r\n" );
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document.write( "The  and  cancel:\r\n" );
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document.write( "or\r\n" );
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document.write( "or \r\n" );
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document.write( "or just\r\n" );
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document.write( "Edwin

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