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  • Complex Numbers
  • Tests in Complex Numbers
  • Multiplying complex numbers

Multiplying complex numbers

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  • Question 1:
    1 pts
    Is the following equation true or false? $$i^2 = -1$$
  • Question 2:
    1 pts
    Is the following statement true or false? The product of two complex number can be real number.
  • Question 3:
    1 pts
    Multiply: $-i\cdot(-i)$.

    $1$

    $-1$

    $i$

    $-i$

  • Question 4:
    1 pts
    Multiply: $(1-i)\cdot(1+i)$.

    $2$

    $-2$

    $2i$

    $-2i$

  • Question 5:
    2 pts
    Multiply: $(3+2i)\cdot(1+i)$.

    $1-5i$

    $-1+5i$

    $1+5i$

    $-1-5i$

  • Question 6:
    2 pts
    Multiply: $(5-3i)\cdot(-2-i)$.

    $8-i$

    $7+i$

    $12-i$

    $-13+i$

  • Question 7:
    2 pts
    Simplify: $(4-2i)^2$

    $12-16i$

    $12+16i$

    $20-16i$

    $20+16i$

  • Question 8:
    3 pts
    With what number do we need to multiply $1+i$ in order to get a real number?

    $i$

    $-i$

    $1-i$

    $1+i$

  • Question 9:
    3 pts
    With what number do we need to multiply $5-3i$ in order to get a real number?

    $5-3i$

    $5+3i$

    $3-5i$

    $3+5i$

  • Question 10:
    3 pts
    Simplify: $3i\cdot(1-i)^2$

    $6$

    $-6$

    $6i$

    $-6i$