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3 May, 10:41

Simplify the expression The root of negative nine over the quantity of three minus two i plus the quantity of one plus five i.

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  1. 3 May, 12:26
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    This will be:

    [√9]/[ (3-2i) + (1+5i) ]

    simplifying the above we get:

    √9 / (3+1-2i+5i)

    =√9 / (4+3i)

    rationalizing the denominator we get:

    √9 / (4-3i) * (4-3i) / (4-3i)

    =[√9 (4-3i) ] / (16+9)

    =[3 (4-3i) ]/25

    = (12-9i) / 25

    Answer: (12-9i) / 25
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