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Algebra

Complex Numbers

Complex Numbers Warmup

         

True or False:

For complex numbers \(a\) and \(b\),

\[ |a| + |b| = |a+b|. \]

Evaluate

\[ i \times ( -i) . \]

Note: \(i \) is the imaginary unit, where \(i^2=-1\).

For any complex number \(z\), which of the following must be equal to

"the real part of the imaginary part of \(z\)"?

Which of the following is equal to

\[ \frac{ 1 + i } { 1 - i }? \]

Are real numbers also complex numbers?

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