document.write( "Question 390122: If i=square root of -1 and a and b are non-zero real numbers, what is 1/(a+bi)? \n" ); document.write( "
Algebra.Com's Answer #276568 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"1%2F%28%28a%2Bbi%29%29\"\r\n" );
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document.write( "Multiply by the conjugate of the denominator over itself:\r\n" );
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document.write( "\"expr%281%2F%28%28a%2Bbi%29%29%29expr%28%28%28a-bi%29%29%2F%28%28a-bi%29%29%29+%29\"\r\n" );
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document.write( "Multiply numerator and denominator:\r\n" );
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document.write( "\"%28a-bi%29%2F%28%28a%2Bbi%29%28a-bi%29%29\"\r\n" );
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document.write( "FOIL out the bottom and simplify:\r\n" );
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document.write( "\"%28a-bi%29%2F%28a%5E2-abi%2Babi-b%5E2i%5E2%29\"\r\n" );
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document.write( "\"%28a-bi%29%2F%28a%5E2-b%5E2i%5E2%29\"\r\n" );
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document.write( "replace iČ by (-1) and simplify:\r\n" );
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document.write( "\"%28a-bi%29%2F%28a%5E2-b%5E2%28-1%29%29\"\r\n" );
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document.write( "\"%28a-bi%29%2F%28a%5E2%2Bb%5E2%29\"\r\n" );
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document.write( "If you want to write it in the form A+Bi,\r\n" );
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document.write( "\"%28a%2F%28a%5E2%2Bb%5E2%29%29-%28expr%28b%2F%28a%5E2%2Bb%5E2%29%29%29%2Ai\"\r\n" );
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document.write( "Edwin
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