document.write( "Question 1197765: Write the complex number of square root of 3 + i \n" ); document.write( "

Algebra.Com's Answer #831186 by math_helper(2461) $\"\"$ $\"About$

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document.write( "  can be written   ∠   (\"m angle theta\"),
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document.write( " where:\r
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document.write( "  m = \r
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document.write( "and
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document.write( "   = \r
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document.write( "For 3+i:  m =  = 
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document.write( "         =  or approx. 18.435 degrees.\r
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document.write( "Now, to find the square root, just take the square root of m and divide the angle  by two:
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document.write( "  sqrt(3+i) =   ∠    \r
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document.write( "or approx.   =  ∠ \r
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document.write( "If you must express this as 'a + bi' form (rectangular form):
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document.write( "     a = m * cos() = 1.778*cos(9.218) = 1.755  
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document.write( "     b = m * sin() = 1.778*sin(9.218) = 0.285\r
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document.write( "so   ≈  \r
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document.write( "---
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document.write( "EDIT:  the notation I used really comes from Electrical Engineering, but keep in mind it is just shorthand for  a+bi = 
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