Relations And Functions

  • Question
    CBSEENMA11012947

    Find the multiplicative inverse of each of the complex number.


    space space space space space space space space space space space space square root of 5 plus space 3 straight i

    Solution

    Z  = space space space space space space space space space space square root of 5 plus 3 straight i
    Multiplicative inverse of z  = space space space space space space space space space 1 over straight z    = space space space space space space space space space space space space space space space space space space space space space space fraction numerator 1 over denominator square root of 5 plus 3 straight i end fraction equals fraction numerator 1 over denominator square root of 5 plus 3 straight i end fraction straight x fraction numerator square root of 5 minus 3 straight i over denominator square root of 5 minus 3 straight i end fraction

                                  space space space space space space space space space space space space space space space space space space space equals space space fraction numerator square root of 5 minus space 3 straight i over denominator left parenthesis square root of 5 right parenthesis squared space minus left parenthesis 3 straight i right parenthesis squared end fraction equals fraction numerator square root of 5 minus 3 straight i over denominator 5 space plus space 9 end fraction space equals space fraction numerator square root of 5 over denominator 14 end fraction minus 3 over 14 straight i

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