Respuesta :

Using concepts of complex numbers, it is found that the modulus of -2 -6i is of 6.3, given by option A.

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  • A complex number has the format a + bi, in which a represents the real part and b represents the imaginary part.
  • The modulus of the number, also called absolute value, is given by [tex]|a + bi| = \sqrt{a^2 + b^2}[/tex].
  • In this question, the number is -2 -6i, thus [tex]a = -2, b = -6[/tex], and the modulus is:

[tex]|-2 -6i| = \sqrt{(-2)^2 + 6^2} = \sqrt{4 + 36} = \sqrt{40} = 6.3[/tex]

The modulus of -2 -6i is of 6.3, given by option A.

A similar problem is given at https://brainly.com/question/12667594

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