Mathematics

Question

What is the modulus of z? 2 2StartRoot 2 EndRoot 3 StartRoot 10 EndRoot

1 Answer

  • 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:

    • x = 3
    • y = 4

    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.

    Learn more on complex number here: https://brainly.com/question/5564133

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