complex number division ?

in complex number division is: (2+2j) / (1+j) = 2 ?

6 Answers

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  • Anonymous
    1 decade ago
    Favorite Answer

    Multiply by (1-j)/(1-j) to rationalise the denominator and get (2+2j)(1-j)/(1+j)(1-j). As the denominator is the difference of two squares, the js cancel to make (2+2j)(1-j)/1+1. (Expand the brackets and cancel. (j^2 = -1).

    Expand the numerator brackets: 2-2j^2 = 2+2.

    => 2+2/1+1 = 4/2 = 2.

  • Aslan
    Lv 6
    1 decade ago

    factorise the denominator to get 2 + 2j = 2(1+j)

    then it becomes clear that you can divide the (1+j) by the (1+j) to give 2 = 2

    qed

  • 1 decade ago

    if ur try ing to solve it

    J=2 because 2+2J is really 2+2=4 then 4 divided by 2 =2

    So J=2

  • 1 decade ago

    j is definitely 1 because then it is 4 divided by 2 which equals 2!

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  • Ben
    Lv 4
    1 decade ago

    if that letter is a "J" than the answer is all real numbers. But if its an " i " and you're talking about imaginary numbers, im sorry I forgot how to do those.

  • 6 years ago

    Look at the beautifully typed PDF below. It looks like textbook notation, so it's easy to read.

    http://www.tomsmath.com/does-2-plus-2j-over-1-plus...

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