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13 August, 11:33

Rationalize the denominator square root of - 16 over (1+i) + (6+3i)

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  1. 13 August, 13:23
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    √-16 / [ (1+i) + (6+3i) ]=

    4i/[ (1+i) + (6+3i) ]=

    4i / (7+4i) =

    4i / (7+4i) (7-4i) / (7-4i) =

    4i (7-4i) / [ (7+4i) (7-4i) ]=

    (28i-16i²) / (49-16i²) =

    (28i+16) / (49+16) =

    (28i+16) / 65

    Remember:

    i=√-1

    i²=-1

    Answer:√-16 / [ (1+i) + (6+3i) ] = (28i+16) / 65
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