document.write( "Question 993057: express in the form a+bi:\r
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\n" ); document.write( "\n" ); document.write( "1+2i/ 1- square root of -64 \n" ); document.write( "
Algebra.Com's Answer #612452 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
1+2i/ 1- square root of -64
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document.write( "\"%281%2B2i%29%2F%281-sqrt%28-64%29%29\"\r\n" );
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document.write( "Change \"sqrt%28-64%29\" to \"sqrt%28-1%2A64%29\" to \"sqrt%28-1%29%2Asqrt%2864%29\" to \"i%2A8\" to \"8i\"\r\n" );
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document.write( "\"%281%2B2i%29%2F%281-8i%29\"\r\n" );
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document.write( "Multiply by the conjugate of the denominator over itself \"%281%2B8i%29%2F%281%2B8i%29\"\r\n" );
document.write( "which we can do because that is just multiplying by 1.\r\n" );
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document.write( "\"%28%281%2B2i%29%281%2B8i%29%29%2F%28%281-8i%29%281%2B8i%29%29\"\r\n" );
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document.write( "Use FOIL on top and bottom:\r\n" );
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document.write( "\"%281%2B8i%2B2i%2B16i%5E2%29%2F%281%2B8i-8i-64i%5E2%29\"\r\n" );
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document.write( "Combine like terms and eliminate terms that have 0 sum:\r\n" );
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document.write( "\"%281%2B10i%2B16i%5E2%29%2F%281-64i%5E2%29\"\r\n" );
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document.write( "Substitute -1 for i2\r\n" );
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document.write( "\"%281%2B10i%2B16%28-1%29%29%2F%281-64%28-1%29%29\"\r\n" );
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document.write( "\"%281%2B10i-16%29%2F%281%2B64%29\"\r\n" );
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document.write( "Combine like terms:\r\n" );
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document.write( "\"%28-15%2B10i%29%2F65\"\r\n" );
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document.write( "To express in terms of a+bi, break into two fractions:\r\n" );
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document.write( "\"-15%2F65%2B10i%2F65\"\r\n" );
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document.write( "Reduce the fractions:\r\n" );
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document.write( "\"-3%2F13%2B2i%2F13\"\r\n" );
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document.write( "Move the i factor in the second term from the numerator\r\n" );
document.write( "to the right:\r\n" );
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document.write( "\"-3%2F13%2Bexpr%282%2F13%29i\" \r\n" );
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document.write( "Edwin
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