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Math Help - mult. imaginary numbers

  1. #1
    Junior Member allsmiles's Avatar
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    mult. imaginary numbers

    5 - 2i
    3 + 8i

    for this problem i would like to know if i should mult. both the tope and the bottom by
    3 + 8i.

    also i already know that (i) to the second power is equal to -1. but how would you work it out?
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  2. #2
    MHF Contributor
    skeeter's Avatar
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    Quote Originally Posted by allsmiles View Post
    5 - 2i
    3 + 8i

    for this problem i would like to know if i should mult. both the tope and the bottom by
    3 + 8i.

    also i already know that (i) to the second power is equal to -1. but how would you work it out?
    multiply numerator and denominator by the conjugate of the denominator ... (3 - 8i)
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  3. #3
    Junior Member
    Joined
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    Quote Originally Posted by allsmiles View Post
    5 - 2i
    3 + 8i

    for this problem i would like to know if i should mult. both the tope and the bottom by
    3 + 8i.

    also i already know that (i) to the second power is equal to -1. but how would you work it out?

    \frac{5-2i}{3+8i} . \frac{3-8i}{3-8i}
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