Complex Numbers Practice Questions
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Questions and Answers

-\frac{2}{3 - i} \left(\frac{5}{i}\right) = ______

1 - \frac{10}{3}

\left(\frac{1}{2} - 3i\right) - \left(2 - \frac{4}{3} i\right) = ______

-\frac{3}{2} - \frac{5}{3} i

\frac{2 - 3i}{-3 + 2i} = ______

-\frac{12}{13} - \frac{1}{13} i

\left(-\frac{1}{2} + i\right) \left(\frac{2}{i}\right) = ______

<p>1 + 1 i</p> Signup and view all the answers

5 \left(3 - 2i\right) \cdot \frac{1}{i - 2} = ______

<p>-3 - \frac{10}{3} i</p> Signup and view all the answers

Study Notes

Practice Questions

  • Simplify the following expressions involving complex numbers:
    • ( -2 / (3 - i) ) * ( 5 / i ) =
    • ( (1/2) - 3i ) - ( 3 - (2/3)i ) =
    • ( 2 - 3i ) / ( -3 + 2i ) =
    • √(-1/2) - (2/3)i =
    • ( i - 1 / i2 ) * ( i + 1 ) =
    • 3i3 ( 1 - 2i ) - 3i =
    • ( -1/2 + i ) * ( 2 / i ) =
    • 5 ( 3 - 2i ) * ( -1/2 + i ) =
    • ( 1 - 3i ) * ( 1 + 3i ) / i =
    • ( 2 - 4i )2 / 2 =

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Description

Test your skills in simplifying complex number expressions with this quiz. Each question challenges you to perform various operations involving addition, multiplication, and division of complex numbers. Perfect for reinforcing your understanding of complex number calculations.

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