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Math Help - square root of a complex number

  1. #1
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    square root of a complex number

    Can someone tell me why my calculator is returning a maths error when I try to find the square root of a complex number and how I do it?
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    MHF Contributor Siron's Avatar
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    Re: square root of a complex number

    Have you entered the right mode (I think on the ti-83 it was: 'a+bi', in stead of 'real')?
    Can you give this complex number.
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    Re: square root of a complex number

    read this link


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    Re: square root of a complex number

    yeah its in complex mode and the number is 0.1858 + 0.9802i divide by 4.5239x10^-6i
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    MHF Contributor Siron's Avatar
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    Re: square root of a complex number

    Did you use for the - sign in the exponent the: operation - (from the difference), or the sign - (to indicate a negative number)? Because that's often a problem. Now, you have to take the 'sign' -.

    Do you have to take the square root or just divide the two complex numbers?
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    Re: square root of a complex number

    yeah as in 0.0000045239i. Not sure what the problem is, in the book I've got it shows the equation as Z = the square root of z/y were z and y are complex or polar numbers. It doesnt show anything else.
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  7. #7
    Super Member Bacterius's Avatar
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    Re: square root of a complex number

    Most calculators only have very limited support for complex numbers. For instance the graphical one on my desk right now cannot even perform exponentiation of complex numbers at all, and hence cannot calculate the square root of a complex number.
    Also, did you put brackets when evaluating 4.5239x10^-6i? If you didn't it's quite possible the calculator understood 4.5239x10^(-6i), not 4.5239x10^(-6) i, and your calculator most likely cannot evaluate complex exponentiation hence math error.
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  8. #8
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    Re: square root of a complex number

    you still haven't stated what calculator you are using.

    my TI-84 does this operation fine in classic mode ... will not do it using the "pretty print" mode.

    the entire output (not shown in the screen shot) is

    467.5473811-43.92149245i
    Attached Thumbnails Attached Thumbnails square root of a complex number-complex.jpg  
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  9. #9
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    Re: square root of a complex number

    yeah sorry Skeeter its a Casio fx-991ES PLUS
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    Re: square root of a complex number

    Quote Originally Posted by hunterage2000 View Post
    yeah sorry Skeeter its a Casio fx-991ES PLUS
    Sorry, but I'm not familiar with the operations of Casio calculators. I recommend you try a web search and/or wait for someone here w/ Casio knowledge that maybe can help.
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  11. #11
    Member sbhatnagar's Avatar
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    Re: square root of a complex number

    Wolfram alpha or mathematica can also be used for such operations.
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