The modulus of the complex number is 5.
The value of z is a complex number with a real and imaginary value. Let's assume the complex number z is given as:
[tex]z = 3 + 4i[/tex]
The modulus of the complex number is given as:
[tex]|z|=\sqrt{x^2+y^2}[/tex]
From the given complex number:
Substitute into the formula:
[tex]|z|=\sqrt{3^2+4^2}\\|z|=\sqrt{9+16} \\|z|=\sqrt{25}\\|z|=5[/tex]
Hence the modulus of the complex number is 5.
Note that the complex number was assumed.
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