Math

rationalize the denominator. Simplify. write final answers is standard form (a+bi).
(4-5i)/(2-7i)

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  1. (4-5i)/(2-7i)
    = (4-5i)/(2-7i) *(2+7i)/(2+7i)
    = (8 + 28i - 10i - 35i^2)/(4 - 49i^2)
    = (43 + 18i)/53 or 43/53 + 18i/53

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