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Identify the given complex number z.

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Here are the solutions for problems 86 and 87.

:

  1. Identify the given complex number zz.

    z=3+iz = \sqrt{3} + i

  2. Find the conjugate of zz, denoted as zˉ\bar{z}.

    If z=a+biz = a+bi, then its conjugate is zˉ=a−bi\bar{z} = a-bi.

    zˉ=3−i\bar{z} = \sqrt{3} - i

  3. Evaluate the product zzˉz\bar{z}.

    The product of a complex number and its conjugate is given by zzˉ=(a+bi)(a−bi)=a2+b2z\bar{z} = (a+bi)(a-bi) = a^2 + b^2.
    In this

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