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6.4 (d)

Answer^^

\(\sqrt{41}\)

Complex Number

  • Complex numbers are made up of two parts: a real number and an imaginary number. Complex numbers serve as the foundation for more complex math, such as algebra.
  • The usual complex number format is \(\textbf{a+ib}\), with the real number coming first and the imaginary number coming last.

Absolute value of a complex number \(a+ib=\sqrt{a^2+b^2}\)

Absolute value of \(5-4i=\sqrt{5^2+(-4)^2}\)

                                        \(=\sqrt{41}\)

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