document.write( "Question 1133897: Can someone please help. Simplify the expression so that it is in the form (a + bi).
\n" ); document.write( "2/3-{ { {sqrt ( -1 ) } } } / { { { sqrt( -4 ) } } } + 1/2
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Algebra.Com's Answer #751170 by MathTherapy(10555)\"\" \"About 
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\n" ); document.write( "Can someone please help. Simplify the expression so that it is in the form (a + bi).
\n" ); document.write( "2/3-{ { {sqrt ( -1 ) } } } / { { { sqrt( -4 ) } } } + 1/2
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\"%282%2F3+-+sqrt%28-+1%29%29%2F%28sqrt%28-+4%29+%2B+1%2F2%29\"
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document.write( "\"%282%2F3+-+i%29%2F%282i+%2B+1%2F2%29\" ------ Substituting \"matrix%281%2C3%2C+i%2C+for%2C+-+1%29\"
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document.write( "\"%28%282+-+3i%29%2F3%29%2F%28%284i+%2B+1%29%2F2%29\" ======> \"matrix%281%2C3%2C+%282+-+3i%29%2F3%2C+%22%2A%22%2C+2%2F%284i+%2B+1%29%29\" =======> \"2%282+-+3i%29%2F3%281+%2B+4i%29\"
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document.write( "\"2%282+-+3i%29%281+-+4i%29%2F3%281+%2B+4i%29%281+-+4i%29\" ------ Multiplying numerator and denominator by the conjugate of 1 + 4i, or by 1 - 4i
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document.write( "\"2%282+-+11i+%2B+12i%5E2%29%2F3%281+-+16i%5E2%29\"
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document.write( "\"2%282+-+11i+%2B+12%28-+1%29%29%2F3%281+-+16%28-+1%29%29\" ------ Replacing \"matrix%281%2C3%2C+i%5E2%2C+with%2C+-+1%29\"
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document.write( "\"2%282+-+11i+-+12%29%2F3%281+%2B+16%29\"
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document.write( "\"2%28-+10+-+11i%29%2F3%2817%29\"
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document.write( " <======== CORRECT ANSWER \n" );
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