Practice problem4

In this page practice problem4  we will see how to divide two complex numbers.

Solution:

1. (3+2i)/(2+4i)

To divide two complex numbers first we have to multiply the numerator by the conjugate of the denominator.

The conjugate of the denominator is 2-4i.

Multiply both numerator and denominator by 2-4i.

Simplifying the numbers we get the answer as

=     7/10 -4i/10.

Now let us do the second problem.

2. (2+3i)/(3-2i)

The conjugate of divisor (denominator) is 3+2i.

Multiply both numerator and denominator by 3-2i.

Simplifying we get the answer as

=   1i.

Now let us do the next problem.

3. (5-6i)/(6+7i).

The conjugate of the divisor(denominator) is 6-7i.

Multiply both numerator and denominator by the conjugate 6-7i.

Simplifying we get the answer as

=  -12/85 -(71/85)i

Now let us do the last problem.

4.  (7-5i)/(4-i)

The conjugate of the divisor (denominator) is 4+i.

Divide both numerator and denominator by 4+i

Simplifying we get the answer as

= 33/17 -(13/17)i

Students can practice the problems in the practice problem4 and work out the problems given below and master in complex addition.

Problems for practice:

1. (-2+3i)/(3-5i)
2. (2-7i)/(1-7i)