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Math Help - Simplify

  1. #1
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    Simplify

    3+2i
    6-5i
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  2. #2
    A riddle wrapped in an enigma
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    \frac{3+2i}{6-5i}

    Multiply numerator and denominator by the conjugate of 6-5i which is 6+5i

    \frac{3+2i}{6-5i} \cdot \frac{6+5i}{6+5i}=\frac{18+27i-10}{36+25}=\frac{8+27i}{61}=\frac{8}{61}+\frac{27}  {61}i
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