[A] Division Of Complex Numbers

Q1. Complete the complex division of the two complex numbers shown:

First of all, remember that the reciprocal of the denominator complex number must be found, as the expression above can also be written as:

Multiply the reciprocal expression by its complex conjugate (in this case (7+2i)):

Now multiply the numerator complex number by the newly found reciprocal of the denominator complex number:

Q2. Complete the complex division of the two complex numbers shown:

First of all, remember that the reciprocal of the denominator complex number must be found, as the expression above can also be written as:

Multiply the reciprocal expression by its complex conjugate (in this case (3+4i)):

Now multiply the numerator complex number by the newly found reciprocal of the denominator complex number:

Q3. Complete the complex division of the two complex numbers shown:

Multiply the reciprocal expression by its complex conjugate (in this case (2+4i)):

Now multiply the numerator complex number by the newly found reciprocal of the denominator complex number:

Q4. Complete the complex division of the two complex numbers shown:

Multiply the reciprocal expression by its complex conjugate (in this case (6-2i)):

Now multiply the numerator complex number by the newly found reciprocal of the denominator complex number:

Q5. Complete the complex division of the two complex numbers shown:

Multiply the reciprocal expression by its complex conjugate (in this case (5+i)):

Now multiply the numerator complex number by the newly found reciprocal of the denominator complex number:

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