Which is the module of the complex number z = 3 - 4i ?

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You should remember that the absolute value of the complex number z is the magnitude of the vector whose coordinates are such that:

Hence, evaluating the absolute value of the given complex number yields

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z= 3-4i

The module of z is lzl

We know that:

lzl = sqrt(a^2 + b^2)

     = sqrt(9 + 16) = sqrt25

       = 5

Then the module of z is:

lzl = 5

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