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Question

Is The Modulus of A Complex Number Always Positive?


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Solution

Considering an example to prove that the modulus of a complex number is always positive:

Let z=a+ib be a complex number.

Taking modulus

z=a2+b2

We know x2 will be greater than zero.

Therefore, a2,b2>0a2+b2>0a2+b2>0

Thus, z>0

Therefore, The Modulus of A Complex Number is Always Positive.


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